31.71 is what percent of 566.25 - 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 566.25 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 566.25, so we can write it down as 100%=566.25.
4. We know, that x% equals 31.71 of the output value, so we can write it down as x%=31.71.
5. Now we have two simple equations:
1) 100%=566.25
2) x%=31.71
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%=566.25/31.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.71 is what percent of 566.25

100%/x%=566.25/31.71
(100/x)*x=(566.25/31.71)*x       - we multiply both sides of the equation by x
100=17.857142857143*x       - we divide both sides of the equation by (17.857142857143) to get x
100/17.857142857143=x
5.6=x
x=5.6

now we have:
31.71 is 5.6% of 566.25