7.97 is what percent of 53.6 - 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 53.6 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 53.6, so we can write it down as 100%=53.6.
4. We know, that x% equals 7.97 of the output value, so we can write it down as x%=7.97.
5. Now we have two simple equations:
1) 100%=53.6
2) x%=7.97
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%=53.6/7.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.97 is what percent of 53.6

100%/x%=53.6/7.97
(100/x)*x=(53.6/7.97)*x       - we multiply both sides of the equation by x
100=6.7252195734003*x       - we divide both sides of the equation by (6.7252195734003) to get x
100/6.7252195734003=x
14.869402985075=x
x=14.869402985075

now we have:
7.97 is 14.869402985075% of 53.6