588.5 is what percent of 932.15 - 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 932.15 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 932.15, so we can write it down as 100%=932.15.
4. We know, that x% equals 588.5 of the output value, so we can write it down as x%=588.5.
5. Now we have two simple equations:
1) 100%=932.15
2) x%=588.5
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%=932.15/588.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 588.5 is what percent of 932.15

100%/x%=932.15/588.5
(100/x)*x=(932.15/588.5)*x       - we multiply both sides of the equation by x
100=1.5839422259983*x       - we divide both sides of the equation by (1.5839422259983) to get x
100/1.5839422259983=x
63.133615834361=x
x=63.133615834361

now we have:
588.5 is 63.133615834361% of 932.15