452.16 is what percent of 251.2 - 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 251.2 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 251.2, so we can write it down as 100%=251.2.
4. We know, that x% equals 452.16 of the output value, so we can write it down as x%=452.16.
5. Now we have two simple equations:
1) 100%=251.2
2) x%=452.16
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%=251.2/452.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 452.16 is what percent of 251.2

100%/x%=251.2/452.16
(100/x)*x=(251.2/452.16)*x       - we multiply both sides of the equation by x
100=0.55555555555556*x       - we divide both sides of the equation by (0.55555555555556) to get x
100/0.55555555555556=x
180=x
x=180

now we have:
452.16 is 180% of 251.2