320.51 is what percent of 500 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 320.51 of the output value, so we can write it down as x%=320.51.
5. Now we have two simple equations:
1) 100%=500
2) x%=320.51
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%=500/320.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 320.51 is what percent of 500

100%/x%=500/320.51
(100/x)*x=(500/320.51)*x       - we multiply both sides of the equation by x
100=1.5600137281208*x       - we divide both sides of the equation by (1.5600137281208) to get x
100/1.5600137281208=x
64.102=x
x=64.102

now we have:
320.51 is 64.102% of 500

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