38.9 is what percent of 281 - 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 281 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 281, so we can write it down as 100%=281.
4. We know, that x% equals 38.9 of the output value, so we can write it down as x%=38.9.
5. Now we have two simple equations:
1) 100%=281
2) x%=38.9
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%=281/38.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.9 is what percent of 281

100%/x%=281/38.9
(100/x)*x=(281/38.9)*x       - we multiply both sides of the equation by x
100=7.2236503856041*x       - we divide both sides of the equation by (7.2236503856041) to get x
100/7.2236503856041=x
13.843416370107=x
x=13.843416370107

now we have:
38.9 is 13.843416370107% of 281