79.33 is what percent of 97.5 - 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 97.5 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 97.5, so we can write it down as 100%=97.5.
4. We know, that x% equals 79.33 of the output value, so we can write it down as x%=79.33.
5. Now we have two simple equations:
1) 100%=97.5
2) x%=79.33
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%=97.5/79.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.33 is what percent of 97.5

100%/x%=97.5/79.33
(100/x)*x=(97.5/79.33)*x       - we multiply both sides of the equation by x
100=1.2290432371108*x       - we divide both sides of the equation by (1.2290432371108) to get x
100/1.2290432371108=x
81.364102564103=x
x=81.364102564103

now we have:
79.33 is 81.364102564103% of 97.5