53.53 is what percent of 428.22 - 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 428.22 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 428.22, so we can write it down as 100%=428.22.
4. We know, that x% equals 53.53 of the output value, so we can write it down as x%=53.53.
5. Now we have two simple equations:
1) 100%=428.22
2) x%=53.53
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%=428.22/53.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.53 is what percent of 428.22

100%/x%=428.22/53.53
(100/x)*x=(428.22/53.53)*x       - we multiply both sides of the equation by x
100=7.9996263777321*x       - we divide both sides of the equation by (7.9996263777321) to get x
100/7.9996263777321=x
12.500583812059=x
x=12.500583812059

now we have:
53.53 is 12.500583812059% of 428.22