452.47 is what percent of 599 - 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 599 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 599, so we can write it down as 100%=599.
4. We know, that x% equals 452.47 of the output value, so we can write it down as x%=452.47.
5. Now we have two simple equations:
1) 100%=599
2) x%=452.47
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%=599/452.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 452.47 is what percent of 599

100%/x%=599/452.47
(100/x)*x=(599/452.47)*x       - we multiply both sides of the equation by x
100=1.3238446747851*x       - we divide both sides of the equation by (1.3238446747851) to get x
100/1.3238446747851=x
75.537562604341=x
x=75.537562604341

now we have:
452.47 is 75.537562604341% of 599