5235.8 is what percent of 7372 - 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 7372 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 7372, so we can write it down as 100%=7372.
4. We know, that x% equals 5235.8 of the output value, so we can write it down as x%=5235.8.
5. Now we have two simple equations:
1) 100%=7372
2) x%=5235.8
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%=7372/5235.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5235.8 is what percent of 7372

100%/x%=7372/5235.8
(100/x)*x=(7372/5235.8)*x       - we multiply both sides of the equation by x
100=1.4079987776462*x       - we divide both sides of the equation by (1.4079987776462) to get x
100/1.4079987776462=x
71.022788931091=x
x=71.022788931091

now we have:
5235.8 is 71.022788931091% of 7372