10.98 is what percent of 80.98 - 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 80.98 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 80.98, so we can write it down as 100%=80.98.
4. We know, that x% equals 10.98 of the output value, so we can write it down as x%=10.98.
5. Now we have two simple equations:
1) 100%=80.98
2) x%=10.98
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%=80.98/10.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.98 is what percent of 80.98

100%/x%=80.98/10.98
(100/x)*x=(80.98/10.98)*x       - we multiply both sides of the equation by x
100=7.3752276867031*x       - we divide both sides of the equation by (7.3752276867031) to get x
100/7.3752276867031=x
13.558903432946=x
x=13.558903432946

now we have:
10.98 is 13.558903432946% of 80.98