2.98 is what percent of 13.25 - 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 13.25 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 13.25, so we can write it down as 100%=13.25.
4. We know, that x% equals 2.98 of the output value, so we can write it down as x%=2.98.
5. Now we have two simple equations:
1) 100%=13.25
2) x%=2.98
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%=13.25/2.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.98 is what percent of 13.25

100%/x%=13.25/2.98
(100/x)*x=(13.25/2.98)*x       - we multiply both sides of the equation by x
100=4.4463087248322*x       - we divide both sides of the equation by (4.4463087248322) to get x
100/4.4463087248322=x
22.490566037736=x
x=22.490566037736

now we have:
2.98 is 22.490566037736% of 13.25