127.89 is what percent of 742.09 - 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 742.09 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 742.09, so we can write it down as 100%=742.09.
4. We know, that x% equals 127.89 of the output value, so we can write it down as x%=127.89.
5. Now we have two simple equations:
1) 100%=742.09
2) x%=127.89
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%=742.09/127.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.89 is what percent of 742.09

100%/x%=742.09/127.89
(100/x)*x=(742.09/127.89)*x       - we multiply both sides of the equation by x
100=5.8025647040425*x       - we divide both sides of the equation by (5.8025647040425) to get x
100/5.8025647040425=x
17.233758708512=x
x=17.233758708512

now we have:
127.89 is 17.233758708512% of 742.09