31931.26 is what percent of 42500 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 42500 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 42500, so we can write it down as 100%=42500.
4. We know, that x% equals 31931.26 of the output value, so we can write it down as x%=31931.26.
5. Now we have two simple equations:
1) 100%=42500
2) x%=31931.26
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=42500/31931.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31931.26 is what percent of 42500

100%/x%=42500/31931.26
(100/x)*x=(42500/31931.26)*x       - we multiply both sides of the equation by x
100=1.3309841202633*x       - we divide both sides of the equation by (1.3309841202633) to get x
100/1.3309841202633=x
75.132376470588=x
x=75.132376470588

now we have:
31931.26 is 75.132376470588% of 42500