55 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 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=85.7
2) x%=55
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%=85.7/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 85.7

100%/x%=85.7/55
(100/x)*x=(85.7/55)*x       - we multiply both sides of the equation by x
100=1.5581818181818*x       - we divide both sides of the equation by (1.5581818181818) to get x
100/1.5581818181818=x
64.177362893816=x
x=64.177362893816

now we have:
55 is 64.177362893816% of 85.7