36.04 is what percent of 541.54 - 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 541.54 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 541.54, so we can write it down as 100%=541.54.
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%=541.54
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%=541.54/36.04
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 541.54

100%/x%=541.54/36.04
(100/x)*x=(541.54/36.04)*x       - we multiply both sides of the equation by x
100=15.026082130966*x       - we divide both sides of the equation by (15.026082130966) to get x
100/15.026082130966=x
6.6550947298445=x
x=6.6550947298445

now we have:
36.04 is 6.6550947298445% of 541.54