127.68 is what percent of 747.84 - 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 747.84 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 747.84, so we can write it down as 100%=747.84.
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%=747.84
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%=747.84/127.68
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 747.84

100%/x%=747.84/127.68
(100/x)*x=(747.84/127.68)*x       - we multiply both sides of the equation by x
100=5.8571428571429*x       - we divide both sides of the equation by (5.8571428571429) to get x
100/5.8571428571429=x
17.073170731707=x
x=17.073170731707

now we have:
127.68 is 17.073170731707% of 747.84