747.16 is what percent of 1690.78 - 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 1690.78 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 1690.78, so we can write it down as 100%=1690.78.
4. We know, that x% equals 747.16 of the output value, so we can write it down as x%=747.16.
5. Now we have two simple equations:
1) 100%=1690.78
2) x%=747.16
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%=1690.78/747.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 747.16 is what percent of 1690.78

100%/x%=1690.78/747.16
(100/x)*x=(1690.78/747.16)*x       - we multiply both sides of the equation by x
100=2.2629423416671*x       - we divide both sides of the equation by (2.2629423416671) to get x
100/2.2629423416671=x
44.190255385089=x
x=44.190255385089

now we have:
747.16 is 44.190255385089% of 1690.78