1072.72 is what percent of 10476.98 - 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 10476.98 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 10476.98, so we can write it down as 100%=10476.98.
4. We know, that x% equals 1072.72 of the output value, so we can write it down as x%=1072.72.
5. Now we have two simple equations:
1) 100%=10476.98
2) x%=1072.72
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%=10476.98/1072.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1072.72 is what percent of 10476.98

100%/x%=10476.98/1072.72
(100/x)*x=(10476.98/1072.72)*x       - we multiply both sides of the equation by x
100=9.7667424863897*x       - we divide both sides of the equation by (9.7667424863897) to get x
100/9.7667424863897=x
10.238828364662=x
x=10.238828364662

now we have:
1072.72 is 10.238828364662% of 10476.98