10.8 is what percent of 44.7 - 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 44.7 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 44.7, so we can write it down as 100%=44.7.
4. We know, that x% equals 10.8 of the output value, so we can write it down as x%=10.8.
5. Now we have two simple equations:
1) 100%=44.7
2) x%=10.8
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%=44.7/10.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.8 is what percent of 44.7

100%/x%=44.7/10.8
(100/x)*x=(44.7/10.8)*x       - we multiply both sides of the equation by x
100=4.1388888888889*x       - we divide both sides of the equation by (4.1388888888889) to get x
100/4.1388888888889=x
24.161073825503=x
x=24.161073825503

now we have:
10.8 is 24.161073825503% of 44.7