53 is what percent of 85.7 - 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 85.7 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 85.7, so we can write it down as 100%=85.7.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=85.7
2) x%=53
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%=85.7/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 85.7

100%/x%=85.7/53
(100/x)*x=(85.7/53)*x       - we multiply both sides of the equation by x
100=1.6169811320755*x       - we divide both sides of the equation by (1.6169811320755) to get x
100/1.6169811320755=x
61.843640606768=x
x=61.843640606768

now we have:
53 is 61.843640606768% of 85.7