10.03 is what percent of 8.8 - 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 8.8 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 8.8, so we can write it down as 100%=8.8.
4. We know, that x% equals 10.03 of the output value, so we can write it down as x%=10.03.
5. Now we have two simple equations:
1) 100%=8.8
2) x%=10.03
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%=8.8/10.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.03 is what percent of 8.8

100%/x%=8.8/10.03
(100/x)*x=(8.8/10.03)*x       - we multiply both sides of the equation by x
100=0.87736789631107*x       - we divide both sides of the equation by (0.87736789631107) to get x
100/0.87736789631107=x
113.97727272727=x
x=113.97727272727

now we have:
10.03 is 113.97727272727% of 8.8