34.8 is what percent of 81.6 - 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 81.6 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 81.6, so we can write it down as 100%=81.6.
4. We know, that x% equals 34.8 of the output value, so we can write it down as x%=34.8.
5. Now we have two simple equations:
1) 100%=81.6
2) x%=34.8
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%=81.6/34.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.8 is what percent of 81.6

100%/x%=81.6/34.8
(100/x)*x=(81.6/34.8)*x       - we multiply both sides of the equation by x
100=2.3448275862069*x       - we divide both sides of the equation by (2.3448275862069) to get x
100/2.3448275862069=x
42.647058823529=x
x=42.647058823529

now we have:
34.8 is 42.647058823529% of 81.6