4672.4 is what percent of 160000 - 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 160000 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 160000, so we can write it down as 100%=160000.
4. We know, that x% equals 4672.4 of the output value, so we can write it down as x%=4672.4.
5. Now we have two simple equations:
1) 100%=160000
2) x%=4672.4
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%=160000/4672.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4672.4 is what percent of 160000

100%/x%=160000/4672.4
(100/x)*x=(160000/4672.4)*x       - we multiply both sides of the equation by x
100=34.243643523671*x       - we divide both sides of the equation by (34.243643523671) to get x
100/34.243643523671=x
2.92025=x
x=2.92025

now we have:
4672.4 is 2.92025% of 160000