4886.29 is what percent of 39876.29 - 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 39876.29 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 39876.29, so we can write it down as 100%=39876.29.
4. We know, that x% equals 4886.29 of the output value, so we can write it down as x%=4886.29.
5. Now we have two simple equations:
1) 100%=39876.29
2) x%=4886.29
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%=39876.29/4886.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4886.29 is what percent of 39876.29

100%/x%=39876.29/4886.29
(100/x)*x=(39876.29/4886.29)*x       - we multiply both sides of the equation by x
100=8.1608520984223*x       - we divide both sides of the equation by (8.1608520984223) to get x
100/8.1608520984223=x
12.253622390649=x
x=12.253622390649

now we have:
4886.29 is 12.253622390649% of 39876.29