38.33 is what percent of 298.97 - 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 298.97 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 298.97, so we can write it down as 100%=298.97.
4. We know, that x% equals 38.33 of the output value, so we can write it down as x%=38.33.
5. Now we have two simple equations:
1) 100%=298.97
2) x%=38.33
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%=298.97/38.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.33 is what percent of 298.97

100%/x%=298.97/38.33
(100/x)*x=(298.97/38.33)*x       - we multiply both sides of the equation by x
100=7.7998956430994*x       - we divide both sides of the equation by (7.7998956430994) to get x
100/7.7998956430994=x
12.8206843496=x
x=12.8206843496

now we have:
38.33 is 12.8206843496% of 298.97