Question

percentage round to 2 decimal "Office and administrative support occupations"; how much more do men earn over females in the same occupation? (Example if a man earned $1200 and a female $1000 than a man earns $200 more. Stated as a percentage a man earns 20% more. ($200/$1000 = 20%).

Answer 1

Answer:

Ok, suppose that a man earns X, and a woman earns Y.

if X is larger than Y, then:

((X - Y)/Y)*100% is the percentage by which the man earns more than the woman. (where Y represents the 100%)

Replacing the given values, we can see that:

X = $1200

Y = $1000

(($1200 - $1000)/$1000)*100% = ($200/$1200)*100% = 0.20*100% = 20%.

If you want the expression only in decimals then you need to ignore the 100% in the equation, and you will have:

(X - Y)/Y

($1200 - $1000)/$1000 = 0.20

This would work for any given values of X and Y.

Other way to see this is:

If the man earns X and the woman Y, then we can see at the quotient:

X/Y

For the previous values we have:

$1200/$1000 = 1.2

This means that the man earns 1.2 times what the woman earns.

If we multiply that by 100%, we have:

1.2*100% = 120%

So the man earns the 120%, which is the 100% that earns the woman plus a 20%, that is what we found before.