53.4 is what percent of 456.03 - 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 456.03 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 456.03, so we can write it down as 100%=456.03.
4. We know, that x% equals 53.4 of the output value, so we can write it down as x%=53.4.
5. Now we have two simple equations:
1) 100%=456.03
2) x%=53.4
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%=456.03/53.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.4 is what percent of 456.03

100%/x%=456.03/53.4
(100/x)*x=(456.03/53.4)*x       - we multiply both sides of the equation by x
100=8.5398876404494*x       - we divide both sides of the equation by (8.5398876404494) to get x
100/8.5398876404494=x
11.709755937109=x
x=11.709755937109

now we have:
53.4 is 11.709755937109% of 456.03