736.59 is what percent of 1744.62 - 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 1744.62 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 1744.62, so we can write it down as 100%=1744.62.
4. We know, that x% equals 736.59 of the output value, so we can write it down as x%=736.59.
5. Now we have two simple equations:
1) 100%=1744.62
2) x%=736.59
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%=1744.62/736.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 736.59 is what percent of 1744.62

100%/x%=1744.62/736.59
(100/x)*x=(1744.62/736.59)*x       - we multiply both sides of the equation by x
100=2.3685089398444*x       - we divide both sides of the equation by (2.3685089398444) to get x
100/2.3685089398444=x
42.220655500911=x
x=42.220655500911

now we have:
736.59 is 42.220655500911% of 1744.62