Table:
both sexes
men
women

percent

actual

1996
23.8
32.2
16.6

2007
33.3
40.1
27.3

2016
37.7
43.5
32.4

2016 counterfactual

with 1996 age structure only
35.9
42.6
30.1

with 1996 education only
30.6
37.7
24.3

with 1996 family structure only
33.7
39.2
28.5

with 1996 age, family and education structure
31.6
39.1
25.4

Statement: among women, non-compositional effects accounted for 56% of the overall change in participation rates.
Question: what percentage of overall change in participation rates among women was caused by non-compositional effects?
Answer: [0.556962]