9.2 is what percent of 7.2 - 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 7.2 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 7.2, so we can write it down as 100%=7.2.
4. We know, that x% equals 9.2 of the output value, so we can write it down as x%=9.2.
5. Now we have two simple equations:
1) 100%=7.2
2) x%=9.2
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%=7.2/9.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.2 is what percent of 7.2

100%/x%=7.2/9.2
(100/x)*x=(7.2/9.2)*x       - we multiply both sides of the equation by x
100=0.78260869565217*x       - we divide both sides of the equation by (0.78260869565217) to get x
100/0.78260869565217=x
127.77777777778=x
x=127.77777777778

now we have:
9.2 is 127.77777777778% of 7.2