8.97 is what percent of 48.2 - 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 48.2 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 48.2, so we can write it down as 100%=48.2.
4. We know, that x% equals 8.97 of the output value, so we can write it down as x%=8.97.
5. Now we have two simple equations:
1) 100%=48.2
2) x%=8.97
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%=48.2/8.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.97 is what percent of 48.2

100%/x%=48.2/8.97
(100/x)*x=(48.2/8.97)*x       - we multiply both sides of the equation by x
100=5.3734671125975*x       - we divide both sides of the equation by (5.3734671125975) to get x
100/5.3734671125975=x
18.609958506224=x
x=18.609958506224

now we have:
8.97 is 18.609958506224% of 48.2