371.46 is what percent of 2483.8 - 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 2483.8 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 2483.8, so we can write it down as 100%=2483.8.
4. We know, that x% equals 371.46 of the output value, so we can write it down as x%=371.46.
5. Now we have two simple equations:
1) 100%=2483.8
2) x%=371.46
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%=2483.8/371.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 371.46 is what percent of 2483.8

100%/x%=2483.8/371.46
(100/x)*x=(2483.8/371.46)*x       - we multiply both sides of the equation by x
100=6.6865880579336*x       - we divide both sides of the equation by (6.6865880579336) to get x
100/6.6865880579336=x
14.955310411466=x
x=14.955310411466

now we have:
371.46 is 14.955310411466% of 2483.8