29702.4 is what percent of 53700 - 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 53700 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 53700, so we can write it down as 100%=53700.
4. We know, that x% equals 29702.4 of the output value, so we can write it down as x%=29702.4.
5. Now we have two simple equations:
1) 100%=53700
2) x%=29702.4
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%=53700/29702.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29702.4 is what percent of 53700

100%/x%=53700/29702.4
(100/x)*x=(53700/29702.4)*x       - we multiply both sides of the equation by x
100=1.8079347123465*x       - we divide both sides of the equation by (1.8079347123465) to get x
100/1.8079347123465=x
55.311731843575=x
x=55.311731843575

now we have:
29702.4 is 55.311731843575% of 53700