75.16 is what percent of 2749.04 - 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 2749.04 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 2749.04, so we can write it down as 100%=2749.04.
4. We know, that x% equals 75.16 of the output value, so we can write it down as x%=75.16.
5. Now we have two simple equations:
1) 100%=2749.04
2) x%=75.16
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%=2749.04/75.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.16 is what percent of 2749.04

100%/x%=2749.04/75.16
(100/x)*x=(2749.04/75.16)*x       - we multiply both sides of the equation by x
100=36.575838211815*x       - we divide both sides of the equation by (36.575838211815) to get x
100/36.575838211815=x
2.734045339464=x
x=2.734045339464

now we have:
75.16 is 2.734045339464% of 2749.04