100.53 is what percent of 452.39 - 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 452.39 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 452.39, so we can write it down as 100%=452.39.
4. We know, that x% equals 100.53 of the output value, so we can write it down as x%=100.53.
5. Now we have two simple equations:
1) 100%=452.39
2) x%=100.53
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%=452.39/100.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.53 is what percent of 452.39

100%/x%=452.39/100.53
(100/x)*x=(452.39/100.53)*x       - we multiply both sides of the equation by x
100=4.5000497363971*x       - we divide both sides of the equation by (4.5000497363971) to get x
100/4.5000497363971=x
22.221976613099=x
x=22.221976613099

now we have:
100.53 is 22.221976613099% of 452.39