32.8 is what percent of 40.28 - 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 40.28 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 40.28, so we can write it down as 100%=40.28.
4. We know, that x% equals 32.8 of the output value, so we can write it down as x%=32.8.
5. Now we have two simple equations:
1) 100%=40.28
2) x%=32.8
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%=40.28/32.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.8 is what percent of 40.28

100%/x%=40.28/32.8
(100/x)*x=(40.28/32.8)*x       - we multiply both sides of the equation by x
100=1.2280487804878*x       - we divide both sides of the equation by (1.2280487804878) to get x
100/1.2280487804878=x
81.429990069513=x
x=81.429990069513

now we have:
32.8 is 81.429990069513% of 40.28