79.86 is what percent of 129.95 - 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 129.95 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 129.95, so we can write it down as 100%=129.95.
4. We know, that x% equals 79.86 of the output value, so we can write it down as x%=79.86.
5. Now we have two simple equations:
1) 100%=129.95
2) x%=79.86
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%=129.95/79.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.86 is what percent of 129.95

100%/x%=129.95/79.86
(100/x)*x=(129.95/79.86)*x       - we multiply both sides of the equation by x
100=1.6272226396193*x       - we divide both sides of the equation by (1.6272226396193) to get x
100/1.6272226396193=x
61.454405540593=x
x=61.454405540593

now we have:
79.86 is 61.454405540593% of 129.95