40.2 is what percent of 205 - 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 205 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 205, so we can write it down as 100%=205.
4. We know, that x% equals 40.2 of the output value, so we can write it down as x%=40.2.
5. Now we have two simple equations:
1) 100%=205
2) x%=40.2
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%=205/40.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.2 is what percent of 205

100%/x%=205/40.2
(100/x)*x=(205/40.2)*x       - we multiply both sides of the equation by x
100=5.0995024875622*x       - we divide both sides of the equation by (5.0995024875622) to get x
100/5.0995024875622=x
19.609756097561=x
x=19.609756097561

now we have:
40.2 is 19.609756097561% of 205