9.82 is what percent of 29.95 - 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 29.95 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 29.95, so we can write it down as 100%=29.95.
4. We know, that x% equals 9.82 of the output value, so we can write it down as x%=9.82.
5. Now we have two simple equations:
1) 100%=29.95
2) x%=9.82
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%=29.95/9.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.82 is what percent of 29.95

100%/x%=29.95/9.82
(100/x)*x=(29.95/9.82)*x       - we multiply both sides of the equation by x
100=3.0498981670061*x       - we divide both sides of the equation by (3.0498981670061) to get x
100/3.0498981670061=x
32.787979966611=x
x=32.787979966611

now we have:
9.82 is 32.787979966611% of 29.95