40.37 is what percent of 524 - 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 524 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 524, so we can write it down as 100%=524.
4. We know, that x% equals 40.37 of the output value, so we can write it down as x%=40.37.
5. Now we have two simple equations:
1) 100%=524
2) x%=40.37
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%=524/40.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.37 is what percent of 524

100%/x%=524/40.37
(100/x)*x=(524/40.37)*x       - we multiply both sides of the equation by x
100=12.979935595739*x       - we divide both sides of the equation by (12.979935595739) to get x
100/12.979935595739=x
7.7041984732824=x
x=7.7041984732824

now we have:
40.37 is 7.7041984732824% of 524