80.8 is what percent of 299.6 - 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 299.6 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 299.6, so we can write it down as 100%=299.6.
4. We know, that x% equals 80.8 of the output value, so we can write it down as x%=80.8.
5. Now we have two simple equations:
1) 100%=299.6
2) x%=80.8
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%=299.6/80.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.8 is what percent of 299.6

100%/x%=299.6/80.8
(100/x)*x=(299.6/80.8)*x       - we multiply both sides of the equation by x
100=3.7079207920792*x       - we divide both sides of the equation by (3.7079207920792) to get x
100/3.7079207920792=x
26.969292389853=x
x=26.969292389853

now we have:
80.8 is 26.969292389853% of 299.6