106.74 is what percent of 1483.26 - 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 1483.26 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 1483.26, so we can write it down as 100%=1483.26.
4. We know, that x% equals 106.74 of the output value, so we can write it down as x%=106.74.
5. Now we have two simple equations:
1) 100%=1483.26
2) x%=106.74
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%=1483.26/106.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.74 is what percent of 1483.26

100%/x%=1483.26/106.74
(100/x)*x=(1483.26/106.74)*x       - we multiply both sides of the equation by x
100=13.896008993817*x       - we divide both sides of the equation by (13.896008993817) to get x
100/13.896008993817=x
7.19631082885=x
x=7.19631082885

now we have:
106.74 is 7.19631082885% of 1483.26