In regression analysis, I'm familiar with the saying that the coefficient reported is an effect on y of a one unit increase in x. But at what level is that unit?

You will see below that I am regressing an increase in the percent who are unemployed in a region (psum_unemployed_total_cont_y) on a person self reporting their health as "good" in a linear probability model.

The common way to describe these results seems to be:

Here an additional unit of regional unemployment decreases the probability of reporting good health by 1 percentage points.

However, regional unemployment is recorded from three to four percentage points, i.e.:

Code:
. sum psum_unemployed_total_cont_y

    Variable |        Obs        Mean    Std. Dev.       Min        Max
-------------+---------------------------------------------------------
psum_unemp~y |      3,198    10.72768    5.007287       5.41      26.15
So, my question is, is this "additional unit of regional unemployment" an increase of a full percent, say from 5% of people in the region being unemployed to 6% of people in the region being unemployed. Or, is it an increase from, for example, 5.41% to 5.42% of people being unemployed?

I realise this may be a simple question, but I'm struggling with it so I appreciate any feedback,

Kindest regards,

John

Code:
. xtreg binary_health_y psum_unemployed_total_cont_y i.yrlycurrent_county_y1 i.year age_y i.maritalstatus_y if has_y0_questionna
> ire==1 & has_y5_questionnaire==1 | has_y0_questionnaire==1 & has_y10_questionnaire==1 | has_y0_questionnaire==1 & has_y5_quest
> ionnaire==1 & has_y10_questionnaire==1 | has_y0_questionnaire==1 & cbmi_y5 !=. & has_y5_questionnaire==0 | has_y0_questionnair
> e==1 & cbmi_y10 !=. & has_y10_questionnaire==0 | has_y0_questionnaire==1 & cbmi_y5 !=. & has_y5_questionnaire==0 & cbmi_y10 !=
> . & has_y10_questionnaire==0 | has_y0_questionnaire==1 & cbmi_y5 !=. & has_y5_questionnaire==1 | has_y0_questionnaire==1 & cbm
> i_y10 !=. & has_y10_questionnaire==1 | has_y0_questionnaire==1 & cbmi_y5 !=. & has_y5_questionnaire==1 & cbmi_y10 !=. & has_y1
> 0_questionnaire==1, cluster (current_county_y1) fe robust 
note: 6.yrlycurrent_county_y1 omitted because of collinearity
note: 10.yrlycurrent_county_y1 omitted because of collinearity
note: 34.yrlycurrent_county_y1 omitted because of collinearity
note: 37.yrlycurrent_county_y1 omitted because of collinearity
note: 44.yrlycurrent_county_y1 omitted because of collinearity
note: 45.yrlycurrent_county_y1 omitted because of collinearity
note: 48.yrlycurrent_county_y1 omitted because of collinearity
note: 10.year omitted because of collinearity

Fixed-effects (within) regression               Number of obs      =      1581
Group variable: id                              Number of groups   =       641

R-sq:  within  = 0.0502                         Obs per group: min =         1
       between = 0.0015                                        avg =       2.5
       overall = 0.0000                                        max =         3

                                                F(18,28)           =         .
corr(u_i, Xb)  = -0.6875                        Prob > F           =         .

                                     (Std. Err. adjusted for 29 clusters in current_county_y1)
----------------------------------------------------------------------------------------------
                             |               Robust
             binary_health_y |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
-----------------------------+----------------------------------------------------------------
psum_unemployed_total_cont_y |  -.0102855   .0048773    -2.11   0.044    -.0202762   -.0002947
                             |
       yrlycurrent_county_y1 |
                      Cavan  |   -.018267   .2279823    -0.08   0.937    -.4852675    .4487335
                      Clare  |  -.5252115   .2027821    -2.59   0.015    -.9405917   -.1098313
                       Cork  |   .3906244   .2787621     1.40   0.172    -.1803939    .9616427
                    Donegal  |          0  (omitted)
                     Dublin  |   .1718237   .2250034     0.76   0.451    -.2890749    .6327223
                  Dublin 10  |  -.3292192   .3856107    -0.85   0.400    -1.119107    .4606685
                  Dublin 11  |          0  (omitted)
                  Dublin 12  |  -.3186343   .4037992    -0.79   0.437    -1.145779    .5085107
                  Dublin 14  |  -.1434118   .2760698    -0.52   0.608    -.7089152    .4220916
                  Dublin 15  |  -.5067857   .4255742    -1.19   0.244    -1.378535    .3649634
                  Dublin 16  |   .6643994   .4025214     1.65   0.110    -.1601284    1.488927
                  Dublin 18  |  -.5712014   .3942685    -1.45   0.159    -1.378824     .236421
                  Dublin 22  |   .1140665   .2243428     0.51   0.615     -.345479    .5736119
                  Dublin 24  |   .0648586   .2443927     0.27   0.793    -.4357571    .5654742
                   Dublin 4  |   .7202541   .3574293     2.02   0.054    -.0119065    1.452415
                   Dublin 6  |  -.1533908   .2734907    -0.56   0.579    -.7136112    .4068296
                  Dublin 6W  |   .4818072   .1730873     2.78   0.010      .127254    .8363604
                   Dublin 7  |     .41868   .2419016     1.73   0.094    -.0768329     .914193
                   Dublin 8  |   .0001566   .2054587     0.00   0.999    -.4207065    .4210197
                Dublin City  |  -.1254077   .2432794    -0.52   0.610    -.6237429    .3729275
     Dún Laoghaire-Rathdown  |  -.0052935   .2089167    -0.03   0.980    -.4332399    .4226529
                     Fingal  |  -.6266997   .3963005    -1.58   0.125    -1.438484     .185085
                     Galway  |  -.1784478   .2249192    -0.79   0.434     -.639174    .2822783
                Galway City  |  -.0723957   .2240071    -0.32   0.749    -.5312535    .3864621
                      Kerry  |  -.5674608   .3000446    -1.89   0.069    -1.182074    .0471527
                    Kildare  |   .5304143   .1807288     2.93   0.007     .1602081    .9006205
                   Kilkenny  |          0  (omitted)
                      Laois  |  -.0744377   .0605301    -1.23   0.229    -.1984279    .0495525
                    Leitrim  |   .5543939   .1868227     2.97   0.006      .171705    .9370828
                   Limerick  |          0  (omitted)
                   Longford  |   .1264136   .2223292     0.57   0.574     -.329007    .5818343
                      Louth  |   .2030122   .2291028     0.89   0.383    -.2662835     .672308
                       Mayo  |   .7999382    .224004     3.57   0.001     .3410868     1.25879
                      Meath  |  -.1253544   .3558635    -0.35   0.727    -.8543077    .6035989
                   Monaghan  |  -.2798706   .4098558    -0.68   0.500    -1.119422     .559681
                     Offaly  |   .0461998   .2170761     0.21   0.833    -.3984605      .49086
                  Roscommon  |          0  (omitted)
                      Sligo  |          0  (omitted)
               South Dublin  |   .7029383   .3213452     2.19   0.037     .0446926    1.361184
                  Tipperary  |  -.0259743   .0451327    -0.58   0.570    -.1184245    .0664759
            Tipperary North  |          0  (omitted)
                  Waterford  |   -.639648    .222072    -2.88   0.008    -1.094542   -.1847542
                  Westmeath  |   .0048053   .2286901     0.02   0.983    -.4636452    .4732558
                    Wexford  |   .1496822   .2144573     0.70   0.491    -.2896137     .588978
                    Wicklow  |   .3035418   .2539436     1.20   0.242    -.2166381    .8237218
                             |
                        year |
                          5  |  -.0829668    .032689    -2.54   0.017    -.1499272   -.0160065
                         10  |          0  (omitted)
                             |
                       age_y |   .0071394   .0045045     1.58   0.124    -.0020876    .0163664
                             |
             maritalstatus_y |
                 Cohabiting  |    .048518   .0302435     1.60   0.120     -.013433     .110469
                  Separated  |  -.0904769   .2361229    -0.38   0.704    -.5741527     .393199
                   Divorced  |  -.1477058   .0902324    -1.64   0.113    -.3325386    .0371269
                    Widowed  |   .0203674   .3064814     0.07   0.947    -.6074313    .6481661
       Single/Never married  |   .0082783   .0634848     0.13   0.897    -.1217644     .138321
                             |
                       _cons |   .5915398    .181058     3.27   0.003     .2206592    .9624204
-----------------------------+----------------------------------------------------------------
                     sigma_u |  .48800391
                     sigma_e |  .35656453
                         rho |  .65194878   (fraction of variance due to u_i)
----------------------------------------------------------------------------------------------