10.64 is what percent of 1053.72 - 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 1053.72 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 1053.72, so we can write it down as 100%=1053.72.
4. We know, that x% equals 10.64 of the output value, so we can write it down as x%=10.64.
5. Now we have two simple equations:
1) 100%=1053.72
2) x%=10.64
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%=1053.72/10.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.64 is what percent of 1053.72

100%/x%=1053.72/10.64
(100/x)*x=(1053.72/10.64)*x       - we multiply both sides of the equation by x
100=99.0338345865*x       - we divide both sides of the equation by (99.0338345865) to get x
100/99.0338345865=x
1.00975591239=x
x=1.00975591239

now we have:
10.64 is 1.00975591239% of 1053.72