80.64 is what percent of 642.24 - 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 642.24 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 642.24, so we can write it down as 100%=642.24.
4. We know, that x% equals 80.64 of the output value, so we can write it down as x%=80.64.
5. Now we have two simple equations:
1) 100%=642.24
2) x%=80.64
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%=642.24/80.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.64 is what percent of 642.24

100%/x%=642.24/80.64
(100/x)*x=(642.24/80.64)*x       - we multiply both sides of the equation by x
100=7.9642857142857*x       - we divide both sides of the equation by (7.9642857142857) to get x
100/7.9642857142857=x
12.556053811659=x
x=12.556053811659

now we have:
80.64 is 12.556053811659% of 642.24