53.7 is what percent of 538.61 - 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 538.61 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 538.61, so we can write it down as 100%=538.61.
4. We know, that x% equals 53.7 of the output value, so we can write it down as x%=53.7.
5. Now we have two simple equations:
1) 100%=538.61
2) x%=53.7
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%=538.61/53.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.7 is what percent of 538.61

100%/x%=538.61/53.7
(100/x)*x=(538.61/53.7)*x       - we multiply both sides of the equation by x
100=10.029981378026*x       - we divide both sides of the equation by (10.029981378026) to get x
100/10.029981378026=x
9.9701082415848=x
x=9.9701082415848

now we have:
53.7 is 9.9701082415848% of 538.61