74.53 is what percent of 456.75 - 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 456.75 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 456.75, so we can write it down as 100%=456.75.
4. We know, that x% equals 74.53 of the output value, so we can write it down as x%=74.53.
5. Now we have two simple equations:
1) 100%=456.75
2) x%=74.53
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%=456.75/74.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.53 is what percent of 456.75

100%/x%=456.75/74.53
(100/x)*x=(456.75/74.53)*x       - we multiply both sides of the equation by x
100=6.1284046692607*x       - we divide both sides of the equation by (6.1284046692607) to get x
100/6.1284046692607=x
16.31746031746=x
x=16.31746031746

now we have:
74.53 is 16.31746031746% of 456.75