452.15 is what percent of 567.53 - 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 567.53 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 567.53, so we can write it down as 100%=567.53.
4. We know, that x% equals 452.15 of the output value, so we can write it down as x%=452.15.
5. Now we have two simple equations:
1) 100%=567.53
2) x%=452.15
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%=567.53/452.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 452.15 is what percent of 567.53

100%/x%=567.53/452.15
(100/x)*x=(567.53/452.15)*x       - we multiply both sides of the equation by x
100=1.2551808028309*x       - we divide both sides of the equation by (1.2551808028309) to get x
100/1.2551808028309=x
79.669797191338=x
x=79.669797191338

now we have:
452.15 is 79.669797191338% of 567.53