724.49 is what percent of 5232.14 - 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 5232.14 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 5232.14, so we can write it down as 100%=5232.14.
4. We know, that x% equals 724.49 of the output value, so we can write it down as x%=724.49.
5. Now we have two simple equations:
1) 100%=5232.14
2) x%=724.49
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%=5232.14/724.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 724.49 is what percent of 5232.14

100%/x%=5232.14/724.49
(100/x)*x=(5232.14/724.49)*x       - we multiply both sides of the equation by x
100=7.2218250079366*x       - we divide both sides of the equation by (7.2218250079366) to get x
100/7.2218250079366=x
13.846915411285=x
x=13.846915411285

now we have:
724.49 is 13.846915411285% of 5232.14