10.6 is what percent of 40.8 - 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 40.8 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 40.8, so we can write it down as 100%=40.8.
4. We know, that x% equals 10.6 of the output value, so we can write it down as x%=10.6.
5. Now we have two simple equations:
1) 100%=40.8
2) x%=10.6
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%=40.8/10.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.6 is what percent of 40.8

100%/x%=40.8/10.6
(100/x)*x=(40.8/10.6)*x       - we multiply both sides of the equation by x
100=3.8490566037736*x       - we divide both sides of the equation by (3.8490566037736) to get x
100/3.8490566037736=x
25.980392156863=x
x=25.980392156863

now we have:
10.6 is 25.980392156863% of 40.8