13.26 is what percent of 9.6 - 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 9.6 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 9.6, so we can write it down as 100%=9.6.
4. We know, that x% equals 13.26 of the output value, so we can write it down as x%=13.26.
5. Now we have two simple equations:
1) 100%=9.6
2) x%=13.26
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%=9.6/13.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.26 is what percent of 9.6

100%/x%=9.6/13.26
(100/x)*x=(9.6/13.26)*x       - we multiply both sides of the equation by x
100=0.72398190045249*x       - we divide both sides of the equation by (0.72398190045249) to get x
100/0.72398190045249=x
138.125=x
x=138.125

now we have:
13.26 is 138.125% of 9.6