520.13 is what percent of 31988.47 - 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 31988.47 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 31988.47, so we can write it down as 100%=31988.47.
4. We know, that x% equals 520.13 of the output value, so we can write it down as x%=520.13.
5. Now we have two simple equations:
1) 100%=31988.47
2) x%=520.13
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%=31988.47/520.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 520.13 is what percent of 31988.47

100%/x%=31988.47/520.13
(100/x)*x=(31988.47/520.13)*x       - we multiply both sides of the equation by x
100=61.50091323323*x       - we divide both sides of the equation by (61.50091323323) to get x
100/61.50091323323=x
1.625992115284=x
x=1.625992115284

now we have:
520.13 is 1.625992115284% of 31988.47