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Approval/Morale formula

Posted on Tuesday, May 19, 2015

I've been scratching my head trying to figure out the exact formula for influence/growth/resistance/production etc from approval, and I can't seem to figure it out.

Can anyone fill me in on this formula?  It seems far more valuable to get the last 25% of approval from 75%-100% (and far more punishing from 25% down to 0%) than the 25-75% range.  I know the numbers down to a %, but I would prefer to have the formula so I plug it into a few spreadsheet calcs I'm doing.

Here is the data I have: 

approval production modifier shown in game
0.00% -25.00%
1.00% -24.00%
2.00% -23.00%
3.00% -22.00%
4.00% -21.00%
5.00% -20.00%
6.00% -19.50%
7.00% -19.00%
8.00% -18.50%
9.00% -18.00%
10.00% -17.50%
11.00% -17.00%
12.00% -16.50%
13.00% -16.00%
14.00% -15.50%
15.00% -15.00%
16.00% -14.33%
17.00% -13.67%
18.00% -13.00%
19.00% -12.33%
20.00% -11.67%
21.00% -11.00%
22.00% -10.33%
23.00% -9.67%
24.00% -9.00%
25.00% -8.33%
26.00% -7.67%
27.00% -7.00%
28.00% -6.33%
29.00% -5.67%
30.00% -5.00%
31.00% -4.75%
32.00% -4.50%
33.00% -4.25%
34.00% -4.00%
35.00% -3.75%
36.00% -3.50%
37.00% -3.25%
38.00% -3.00%
39.00% -2.75%
40.00% -2.50%
41.00% -2.25%
42.00% -2.00%
43.00% -1.75%
44.00% -1.50%
45.00% -1.25%
46.00% -1.00%
47.00% -0.75%
48.00% -0.50%
49.00% -0.25%
50.00% 0.00%
51.00% 0.25%
52.00% 0.50%
53.00% 0.75%
54.00% 1.00%
55.00% 1.25%
56.00% 1.50%
57.00% 1.75%
58.00% 2.00%
59.00% 2.25%
60.00% 2.50%
61.00% 2.75%
62.00% 3.00%
63.00% 3.25%
64.00% 3.50%
65.00% 3.75%
66.00% 4.00%
67.00% 4.25%
68.00% 4.50%
69.00% 4.75%
70.00% 5.00%
71.00% 5.67%
72.00% 6.33%
73.00% 7.00%
74.00% 7.67%
75.00% 8.33%
76.00% 9.00%
77.00% 9.67%
78.00% 10.33%
79.00% 11.00%
80.00% 11.67%
81.00% 12.33%
82.00% 13.00%
83.00% 13.67%
84.00% 14.33%
85.00% 15.00%
86.00% 15.50%
87.00% 16.00%
88.00% 16.50%
89.00% 17.00%
90.00% 17.50%
91.00% 18.00%
92.00% 18.50%
93.00% 19.00%
94.00% 19.50%
95.00% 20.00%
96.00% 21.00%
97.00% 22.00%
98.00% 23.00%
99.00% 24.00%
100.00% 25.00%