591.32 is what percent of 964.5 - 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 964.5 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 964.5, so we can write it down as 100%=964.5.
4. We know, that x% equals 591.32 of the output value, so we can write it down as x%=591.32.
5. Now we have two simple equations:
1) 100%=964.5
2) x%=591.32
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%=964.5/591.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 591.32 is what percent of 964.5

100%/x%=964.5/591.32
(100/x)*x=(964.5/591.32)*x       - we multiply both sides of the equation by x
100=1.6310965297977*x       - we divide both sides of the equation by (1.6310965297977) to get x
100/1.6310965297977=x
61.30844997408=x
x=61.30844997408

now we have:
591.32 is 61.30844997408% of 964.5