61.71 is what percent of 500 - 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 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 61.71 of the output value, so we can write it down as x%=61.71.
5. Now we have two simple equations:
1) 100%=500
2) x%=61.71
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%=500/61.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.71 is what percent of 500

100%/x%=500/61.71
(100/x)*x=(500/61.71)*x       - we multiply both sides of the equation by x
100=8.1024145195268*x       - we divide both sides of the equation by (8.1024145195268) to get x
100/8.1024145195268=x
12.342=x
x=12.342

now we have:
61.71 is 12.342% of 500