2704.9 is what percent of 38642 - 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 38642 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 38642, so we can write it down as 100%=38642.
4. We know, that x% equals 2704.9 of the output value, so we can write it down as x%=2704.9.
5. Now we have two simple equations:
1) 100%=38642
2) x%=2704.9
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%=38642/2704.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2704.9 is what percent of 38642

100%/x%=38642/2704.9
(100/x)*x=(38642/2704.9)*x       - we multiply both sides of the equation by x
100=14.285925542534*x       - we divide both sides of the equation by (14.285925542534) to get x
100/14.285925542534=x
6.9998964856891=x
x=6.9998964856891

now we have:
2704.9 is 6.9998964856891% of 38642