34 is what percent of 280.8 - 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 280.8 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 280.8, so we can write it down as 100%=280.8.
4. We know, that x% equals 34 of the output value, so we can write it down as x%=34.
5. Now we have two simple equations:
1) 100%=280.8
2) x%=34
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%=280.8/34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34 is what percent of 280.8

100%/x%=280.8/34
(100/x)*x=(280.8/34)*x       - we multiply both sides of the equation by x
100=8.2588235294118*x       - we divide both sides of the equation by (8.2588235294118) to get x
100/8.2588235294118=x
12.108262108262=x
x=12.108262108262

now we have:
34 is 12.108262108262% of 280.8