126.72 is what percent of 1678.55 - 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 1678.55 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 1678.55, so we can write it down as 100%=1678.55.
4. We know, that x% equals 126.72 of the output value, so we can write it down as x%=126.72.
5. Now we have two simple equations:
1) 100%=1678.55
2) x%=126.72
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%=1678.55/126.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.72 is what percent of 1678.55

100%/x%=1678.55/126.72
(100/x)*x=(1678.55/126.72)*x       - we multiply both sides of the equation by x
100=13.246133207071*x       - we divide both sides of the equation by (13.246133207071) to get x
100/13.246133207071=x
7.5493729707188=x
x=7.5493729707188

now we have:
126.72 is 7.5493729707188% of 1678.55