7.24 is what percent of 52.8 - 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 52.8 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 52.8, so we can write it down as 100%=52.8.
4. We know, that x% equals 7.24 of the output value, so we can write it down as x%=7.24.
5. Now we have two simple equations:
1) 100%=52.8
2) x%=7.24
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%=52.8/7.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.24 is what percent of 52.8

100%/x%=52.8/7.24
(100/x)*x=(52.8/7.24)*x       - we multiply both sides of the equation by x
100=7.292817679558*x       - we divide both sides of the equation by (7.292817679558) to get x
100/7.292817679558=x
13.712121212121=x
x=13.712121212121

now we have:
7.24 is 13.712121212121% of 52.8