15642.2 is what percent of 34500 - 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 34500 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 34500, so we can write it down as 100%=34500.
4. We know, that x% equals 15642.2 of the output value, so we can write it down as x%=15642.2.
5. Now we have two simple equations:
1) 100%=34500
2) x%=15642.2
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%=34500/15642.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15642.2 is what percent of 34500

100%/x%=34500/15642.2
(100/x)*x=(34500/15642.2)*x       - we multiply both sides of the equation by x
100=2.2055721062255*x       - we divide both sides of the equation by (2.2055721062255) to get x
100/2.2055721062255=x
45.339710144928=x
x=45.339710144928

now we have:
15642.2 is 45.339710144928% of 34500