7.97 is what percent of 32.97 - 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 32.97 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 32.97, so we can write it down as 100%=32.97.
4. We know, that x% equals 7.97 of the output value, so we can write it down as x%=7.97.
5. Now we have two simple equations:
1) 100%=32.97
2) x%=7.97
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%=32.97/7.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.97 is what percent of 32.97

100%/x%=32.97/7.97
(100/x)*x=(32.97/7.97)*x       - we multiply both sides of the equation by x
100=4.1367628607277*x       - we divide both sides of the equation by (4.1367628607277) to get x
100/4.1367628607277=x
24.173491052472=x
x=24.173491052472

now we have:
7.97 is 24.173491052472% of 32.97