53.2 is what percent of 428.95 - 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 428.95 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 428.95, so we can write it down as 100%=428.95.
4. We know, that x% equals 53.2 of the output value, so we can write it down as x%=53.2.
5. Now we have two simple equations:
1) 100%=428.95
2) x%=53.2
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%=428.95/53.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.2 is what percent of 428.95

100%/x%=428.95/53.2
(100/x)*x=(428.95/53.2)*x       - we multiply both sides of the equation by x
100=8.062969924812*x       - we divide both sides of the equation by (8.062969924812) to get x
100/8.062969924812=x
12.402377899522=x
x=12.402377899522

now we have:
53.2 is 12.402377899522% of 428.95