29824.8 is what percent of 52000 - 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 52000 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 52000, so we can write it down as 100%=52000.
4. We know, that x% equals 29824.8 of the output value, so we can write it down as x%=29824.8.
5. Now we have two simple equations:
1) 100%=52000
2) x%=29824.8
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%=52000/29824.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29824.8 is what percent of 52000

100%/x%=52000/29824.8
(100/x)*x=(52000/29824.8)*x       - we multiply both sides of the equation by x
100=1.743515463641*x       - we divide both sides of the equation by (1.743515463641) to get x
100/1.743515463641=x
57.355384615385=x
x=57.355384615385

now we have:
29824.8 is 57.355384615385% of 52000