74.2 is what percent of 32005 - 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 32005 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 32005, so we can write it down as 100%=32005.
4. We know, that x% equals 74.2 of the output value, so we can write it down as x%=74.2.
5. Now we have two simple equations:
1) 100%=32005
2) x%=74.2
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%=32005/74.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.2 is what percent of 32005

100%/x%=32005/74.2
(100/x)*x=(32005/74.2)*x       - we multiply both sides of the equation by x
100=431.33423180593*x       - we divide both sides of the equation by (431.33423180593) to get x
100/431.33423180593=x
0.23183877519138=x
x=0.23183877519138

now we have:
74.2 is 0.23183877519138% of 32005