10.38 is what percent of 7.6 - 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 7.6 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 7.6, so we can write it down as 100%=7.6.
4. We know, that x% equals 10.38 of the output value, so we can write it down as x%=10.38.
5. Now we have two simple equations:
1) 100%=7.6
2) x%=10.38
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%=7.6/10.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.38 is what percent of 7.6

100%/x%=7.6/10.38
(100/x)*x=(7.6/10.38)*x       - we multiply both sides of the equation by x
100=0.73217726396917*x       - we divide both sides of the equation by (0.73217726396917) to get x
100/0.73217726396917=x
136.57894736842=x
x=136.57894736842

now we have:
10.38 is 136.57894736842% of 7.6