10.82 is what percent of 720 - 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 720 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 720, so we can write it down as 100%=720.
4. We know, that x% equals 10.82 of the output value, so we can write it down as x%=10.82.
5. Now we have two simple equations:
1) 100%=720
2) x%=10.82
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%=720/10.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.82 is what percent of 720

100%/x%=720/10.82
(100/x)*x=(720/10.82)*x       - we multiply both sides of the equation by x
100=66.543438077634*x       - we divide both sides of the equation by (66.543438077634) to get x
100/66.543438077634=x
1.5027777777778=x
x=1.5027777777778

now we have:
10.82 is 1.5027777777778% of 720