10.78 is what percent of 119.6 - 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 119.6 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 119.6, so we can write it down as 100%=119.6.
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%=119.6
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%=119.6/10.78
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 119.6

100%/x%=119.6/10.78
(100/x)*x=(119.6/10.78)*x       - we multiply both sides of the equation by x
100=11.094619666048*x       - we divide both sides of the equation by (11.094619666048) to get x
100/11.094619666048=x
9.0133779264214=x
x=9.0133779264214

now we have:
10.78 is 9.0133779264214% of 119.6