643.63 is what percent of 5062.4 - 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 5062.4 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 5062.4, so we can write it down as 100%=5062.4.
4. We know, that x% equals 643.63 of the output value, so we can write it down as x%=643.63.
5. Now we have two simple equations:
1) 100%=5062.4
2) x%=643.63
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%=5062.4/643.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 643.63 is what percent of 5062.4

100%/x%=5062.4/643.63
(100/x)*x=(5062.4/643.63)*x       - we multiply both sides of the equation by x
100=7.8653884996038*x       - we divide both sides of the equation by (7.8653884996038) to get x
100/7.8653884996038=x
12.713930151707=x
x=12.713930151707

now we have:
643.63 is 12.713930151707% of 5062.4