59.95 is what percent of 91 - 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 91 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 91, so we can write it down as 100%=91.
4. We know, that x% equals 59.95 of the output value, so we can write it down as x%=59.95.
5. Now we have two simple equations:
1) 100%=91
2) x%=59.95
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%=91/59.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.95 is what percent of 91

100%/x%=91/59.95
(100/x)*x=(91/59.95)*x       - we multiply both sides of the equation by x
100=1.5179316096747*x       - we divide both sides of the equation by (1.5179316096747) to get x
100/1.5179316096747=x
65.879120879121=x
x=65.879120879121

now we have:
59.95 is 65.879120879121% of 91