78.8 is what percent of 298.8 - 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 298.8 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 298.8, so we can write it down as 100%=298.8.
4. We know, that x% equals 78.8 of the output value, so we can write it down as x%=78.8.
5. Now we have two simple equations:
1) 100%=298.8
2) x%=78.8
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%=298.8/78.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.8 is what percent of 298.8

100%/x%=298.8/78.8
(100/x)*x=(298.8/78.8)*x       - we multiply both sides of the equation by x
100=3.7918781725888*x       - we divide both sides of the equation by (3.7918781725888) to get x
100/3.7918781725888=x
26.372155287818=x
x=26.372155287818

now we have:
78.8 is 26.372155287818% of 298.8