127.68 is what percent of 747.68 - 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 747.68 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 747.68, so we can write it down as 100%=747.68.
4. We know, that x% equals 127.68 of the output value, so we can write it down as x%=127.68.
5. Now we have two simple equations:
1) 100%=747.68
2) x%=127.68
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%=747.68/127.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.68 is what percent of 747.68

100%/x%=747.68/127.68
(100/x)*x=(747.68/127.68)*x       - we multiply both sides of the equation by x
100=5.8558897243108*x       - we divide both sides of the equation by (5.8558897243108) to get x
100/5.8558897243108=x
17.076824309865=x
x=17.076824309865

now we have:
127.68 is 17.076824309865% of 747.68