51.2 is what percent of 403.7 - 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 403.7 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 403.7, so we can write it down as 100%=403.7.
4. We know, that x% equals 51.2 of the output value, so we can write it down as x%=51.2.
5. Now we have two simple equations:
1) 100%=403.7
2) x%=51.2
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%=403.7/51.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.2 is what percent of 403.7

100%/x%=403.7/51.2
(100/x)*x=(403.7/51.2)*x       - we multiply both sides of the equation by x
100=7.884765625*x       - we divide both sides of the equation by (7.884765625) to get x
100/7.884765625=x
12.682685162249=x
x=12.682685162249

now we have:
51.2 is 12.682685162249% of 403.7