36.04 is what percent of 84.54 - 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 84.54 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 84.54, so we can write it down as 100%=84.54.
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%=84.54
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%=84.54/36.04
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 84.54

100%/x%=84.54/36.04
(100/x)*x=(84.54/36.04)*x       - we multiply both sides of the equation by x
100=2.3457269700333*x       - we divide both sides of the equation by (2.3457269700333) to get x
100/2.3457269700333=x
42.630707357464=x
x=42.630707357464

now we have:
36.04 is 42.630707357464% of 84.54