722.22 is what percent of 9750 - 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 9750 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 9750, so we can write it down as 100%=9750.
4. We know, that x% equals 722.22 of the output value, so we can write it down as x%=722.22.
5. Now we have two simple equations:
1) 100%=9750
2) x%=722.22
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%=9750/722.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 722.22 is what percent of 9750

100%/x%=9750/722.22
(100/x)*x=(9750/722.22)*x       - we multiply both sides of the equation by x
100=13.500041538589*x       - we divide both sides of the equation by (13.500041538589) to get x
100/13.500041538589=x
7.4073846153846=x
x=7.4073846153846

now we have:
722.22 is 7.4073846153846% of 9750