126.55 is what percent of 696.49 - 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 696.49 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 696.49, so we can write it down as 100%=696.49.
4. We know, that x% equals 126.55 of the output value, so we can write it down as x%=126.55.
5. Now we have two simple equations:
1) 100%=696.49
2) x%=126.55
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%=696.49/126.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.55 is what percent of 696.49

100%/x%=696.49/126.55
(100/x)*x=(696.49/126.55)*x       - we multiply both sides of the equation by x
100=5.5036744369814*x       - we divide both sides of the equation by (5.5036744369814) to get x
100/5.5036744369814=x
18.169679392382=x
x=18.169679392382

now we have:
126.55 is 18.169679392382% of 696.49