36.04 is what percent of 42.28 - 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 42.28 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 42.28, so we can write it down as 100%=42.28.
4. We know, that x% equals 36.04 of the output value, so we can write it down as x%=36.04.
5. Now we have two simple equations:
1) 100%=42.28
2) x%=36.04
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%=42.28/36.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.04 is what percent of 42.28

100%/x%=42.28/36.04
(100/x)*x=(42.28/36.04)*x       - we multiply both sides of the equation by x
100=1.173140954495*x       - we divide both sides of the equation by (1.173140954495) to get x
100/1.173140954495=x
85.241248817408=x
x=85.241248817408

now we have:
36.04 is 85.241248817408% of 42.28