10.78 is what percent of 136.78 - 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 136.78 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 136.78, so we can write it down as 100%=136.78.
4. We know, that x% equals 10.78 of the output value, so we can write it down as x%=10.78.
5. Now we have two simple equations:
1) 100%=136.78
2) x%=10.78
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%=136.78/10.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.78 is what percent of 136.78

100%/x%=136.78/10.78
(100/x)*x=(136.78/10.78)*x       - we multiply both sides of the equation by x
100=12.688311688312*x       - we divide both sides of the equation by (12.688311688312) to get x
100/12.688311688312=x
7.8812691914023=x
x=7.8812691914023

now we have:
10.78 is 7.8812691914023% of 136.78