8.97 is what percent of 27.29 - 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 27.29 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 27.29, so we can write it down as 100%=27.29.
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%=27.29
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%=27.29/8.97
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 27.29

100%/x%=27.29/8.97
(100/x)*x=(27.29/8.97)*x       - we multiply both sides of the equation by x
100=3.0423634336678*x       - we divide both sides of the equation by (3.0423634336678) to get x
100/3.0423634336678=x
32.869182850861=x
x=32.869182850861

now we have:
8.97 is 32.869182850861% of 27.29