342.8 is what percent of 2787.41 - 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 2787.41 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 2787.41, so we can write it down as 100%=2787.41.
4. We know, that x% equals 342.8 of the output value, so we can write it down as x%=342.8.
5. Now we have two simple equations:
1) 100%=2787.41
2) x%=342.8
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%=2787.41/342.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 342.8 is what percent of 2787.41

100%/x%=2787.41/342.8
(100/x)*x=(2787.41/342.8)*x       - we multiply both sides of the equation by x
100=8.131301050175*x       - we divide both sides of the equation by (8.131301050175) to get x
100/8.131301050175=x
12.298154918006=x
x=12.298154918006

now we have:
342.8 is 12.298154918006% of 2787.41