55.95 is what percent of 64.95 - 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 64.95 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 64.95, so we can write it down as 100%=64.95.
4. We know, that x% equals 55.95 of the output value, so we can write it down as x%=55.95.
5. Now we have two simple equations:
1) 100%=64.95
2) x%=55.95
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%=64.95/55.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.95 is what percent of 64.95

100%/x%=64.95/55.95
(100/x)*x=(64.95/55.95)*x       - we multiply both sides of the equation by x
100=1.1608579088472*x       - we divide both sides of the equation by (1.1608579088472) to get x
100/1.1608579088472=x
86.143187066975=x
x=86.143187066975

now we have:
55.95 is 86.143187066975% of 64.95