10.78 is what percent of 39.55 - 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 39.55 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 39.55, so we can write it down as 100%=39.55.
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%=39.55
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%=39.55/10.78
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 39.55

100%/x%=39.55/10.78
(100/x)*x=(39.55/10.78)*x       - we multiply both sides of the equation by x
100=3.6688311688312*x       - we divide both sides of the equation by (3.6688311688312) to get x
100/3.6688311688312=x
27.256637168142=x
x=27.256637168142

now we have:
10.78 is 27.256637168142% of 39.55