59.31 is what percent of 521.81 - 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 521.81 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 521.81, so we can write it down as 100%=521.81.
4. We know, that x% equals 59.31 of the output value, so we can write it down as x%=59.31.
5. Now we have two simple equations:
1) 100%=521.81
2) x%=59.31
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%=521.81/59.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.31 is what percent of 521.81

100%/x%=521.81/59.31
(100/x)*x=(521.81/59.31)*x       - we multiply both sides of the equation by x
100=8.7980104535491*x       - we divide both sides of the equation by (8.7980104535491) to get x
100/8.7980104535491=x
11.366206090339=x
x=11.366206090339

now we have:
59.31 is 11.366206090339% of 521.81