51.6 is what percent of 405.6 - 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 405.6 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 405.6, so we can write it down as 100%=405.6.
4. We know, that x% equals 51.6 of the output value, so we can write it down as x%=51.6.
5. Now we have two simple equations:
1) 100%=405.6
2) x%=51.6
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%=405.6/51.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.6 is what percent of 405.6

100%/x%=405.6/51.6
(100/x)*x=(405.6/51.6)*x       - we multiply both sides of the equation by x
100=7.8604651162791*x       - we divide both sides of the equation by (7.8604651162791) to get x
100/7.8604651162791=x
12.721893491124=x
x=12.721893491124

now we have:
51.6 is 12.721893491124% of 405.6