8.75 is what percent of 29.98 - 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 29.98 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 29.98, so we can write it down as 100%=29.98.
4. We know, that x% equals 8.75 of the output value, so we can write it down as x%=8.75.
5. Now we have two simple equations:
1) 100%=29.98
2) x%=8.75
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%=29.98/8.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.75 is what percent of 29.98

100%/x%=29.98/8.75
(100/x)*x=(29.98/8.75)*x       - we multiply both sides of the equation by x
100=3.4262857142857*x       - we divide both sides of the equation by (3.4262857142857) to get x
100/3.4262857142857=x
29.186124082722=x
x=29.186124082722

now we have:
8.75 is 29.186124082722% of 29.98