238.7 is what percent of 2521.47 - 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 2521.47 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 2521.47, so we can write it down as 100%=2521.47.
4. We know, that x% equals 238.7 of the output value, so we can write it down as x%=238.7.
5. Now we have two simple equations:
1) 100%=2521.47
2) x%=238.7
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%=2521.47/238.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 238.7 is what percent of 2521.47

100%/x%=2521.47/238.7
(100/x)*x=(2521.47/238.7)*x       - we multiply both sides of the equation by x
100=10.563343108504*x       - we divide both sides of the equation by (10.563343108504) to get x
100/10.563343108504=x
9.4666999805669=x
x=9.4666999805669

now we have:
238.7 is 9.4666999805669% of 2521.47