6372.5 is what percent of 49150 - 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 49150 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 49150, so we can write it down as 100%=49150.
4. We know, that x% equals 6372.5 of the output value, so we can write it down as x%=6372.5.
5. Now we have two simple equations:
1) 100%=49150
2) x%=6372.5
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%=49150/6372.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6372.5 is what percent of 49150

100%/x%=49150/6372.5
(100/x)*x=(49150/6372.5)*x       - we multiply both sides of the equation by x
100=7.7128285602197*x       - we divide both sides of the equation by (7.7128285602197) to get x
100/7.7128285602197=x
12.965412004069=x
x=12.965412004069

now we have:
6372.5 is 12.965412004069% of 49150