13.08 is what percent of 98.94 - 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 98.94 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 98.94, so we can write it down as 100%=98.94.
4. We know, that x% equals 13.08 of the output value, so we can write it down as x%=13.08.
5. Now we have two simple equations:
1) 100%=98.94
2) x%=13.08
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%=98.94/13.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.08 is what percent of 98.94

100%/x%=98.94/13.08
(100/x)*x=(98.94/13.08)*x       - we multiply both sides of the equation by x
100=7.5642201834862*x       - we divide both sides of the equation by (7.5642201834862) to get x
100/7.5642201834862=x
13.22013341419=x
x=13.22013341419

now we have:
13.08 is 13.22013341419% of 98.94