13716.62 is what percent of 42205 - 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 42205 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 42205, so we can write it down as 100%=42205.
4. We know, that x% equals 13716.62 of the output value, so we can write it down as x%=13716.62.
5. Now we have two simple equations:
1) 100%=42205
2) x%=13716.62
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%=42205/13716.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13716.62 is what percent of 42205

100%/x%=42205/13716.62
(100/x)*x=(42205/13716.62)*x       - we multiply both sides of the equation by x
100=3.076924198527*x       - we divide both sides of the equation by (3.076924198527) to get x
100/3.076924198527=x
32.499988153062=x
x=32.499988153062

now we have:
13716.62 is 32.499988153062% of 42205