457.38 is what percent of 15800 - 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 15800 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 15800, so we can write it down as 100%=15800.
4. We know, that x% equals 457.38 of the output value, so we can write it down as x%=457.38.
5. Now we have two simple equations:
1) 100%=15800
2) x%=457.38
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%=15800/457.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 457.38 is what percent of 15800

100%/x%=15800/457.38
(100/x)*x=(15800/457.38)*x       - we multiply both sides of the equation by x
100=34.544579999125*x       - we divide both sides of the equation by (34.544579999125) to get x
100/34.544579999125=x
2.8948101265823=x
x=2.8948101265823

now we have:
457.38 is 2.8948101265823% of 15800