756.24 is what percent of 1844.5 - 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 1844.5 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 1844.5, so we can write it down as 100%=1844.5.
4. We know, that x% equals 756.24 of the output value, so we can write it down as x%=756.24.
5. Now we have two simple equations:
1) 100%=1844.5
2) x%=756.24
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%=1844.5/756.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 756.24 is what percent of 1844.5

100%/x%=1844.5/756.24
(100/x)*x=(1844.5/756.24)*x       - we multiply both sides of the equation by x
100=2.4390405162382*x       - we divide both sides of the equation by (2.4390405162382) to get x
100/2.4390405162382=x
40.999728923828=x
x=40.999728923828

now we have:
756.24 is 40.999728923828% of 1844.5