7 is what percent of 72.27 - 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 72.27 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 72.27, so we can write it down as 100%=72.27.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=72.27
2) x%=7
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%=72.27/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 72.27

100%/x%=72.27/7
(100/x)*x=(72.27/7)*x       - we multiply both sides of the equation by x
100=10.324285714286*x       - we divide both sides of the equation by (10.324285714286) to get x
100/10.324285714286=x
9.685900096859=x
x=9.685900096859

now we have:
7 is 9.685900096859% of 72.27