51.24 is what percent of 79.085 - 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 79.085 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 79.085, so we can write it down as 100%=79.085.
4. We know, that x% equals 51.24 of the output value, so we can write it down as x%=51.24.
5. Now we have two simple equations:
1) 100%=79.085
2) x%=51.24
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%=79.085/51.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.24 is what percent of 79.085

100%/x%=79.085/51.24
(100/x)*x=(79.085/51.24)*x       - we multiply both sides of the equation by x
100=1.5434231069477*x       - we divide both sides of the equation by (1.5434231069477) to get x
100/1.5434231069477=x
64.791047607005=x
x=64.791047607005

now we have:
51.24 is 64.791047607005% of 79.085