45.86 is what percent of 59.95 - 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 59.95 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 59.95, so we can write it down as 100%=59.95.
4. We know, that x% equals 45.86 of the output value, so we can write it down as x%=45.86.
5. Now we have two simple equations:
1) 100%=59.95
2) x%=45.86
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%=59.95/45.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.86 is what percent of 59.95

100%/x%=59.95/45.86
(100/x)*x=(59.95/45.86)*x       - we multiply both sides of the equation by x
100=1.3072394243349*x       - we divide both sides of the equation by (1.3072394243349) to get x
100/1.3072394243349=x
76.497080900751=x
x=76.497080900751

now we have:
45.86 is 76.497080900751% of 59.95