40.02 is what percent of 17720.62 - 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 17720.62 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 17720.62, so we can write it down as 100%=17720.62.
4. We know, that x% equals 40.02 of the output value, so we can write it down as x%=40.02.
5. Now we have two simple equations:
1) 100%=17720.62
2) x%=40.02
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%=17720.62/40.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.02 is what percent of 17720.62

100%/x%=17720.62/40.02
(100/x)*x=(17720.62/40.02)*x       - we multiply both sides of the equation by x
100=442.79410294853*x       - we divide both sides of the equation by (442.79410294853) to get x
100/442.79410294853=x
0.22583859932666=x
x=0.22583859932666

now we have:
40.02 is 0.22583859932666% of 17720.62