127.74 is what percent of 12.965 - 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 12.965 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 12.965, so we can write it down as 100%=12.965.
4. We know, that x% equals 127.74 of the output value, so we can write it down as x%=127.74.
5. Now we have two simple equations:
1) 100%=12.965
2) x%=127.74
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%=12.965/127.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.74 is what percent of 12.965

100%/x%=12.965/127.74
(100/x)*x=(12.965/127.74)*x       - we multiply both sides of the equation by x
100=0.10149522467512*x       - we divide both sides of the equation by (0.10149522467512) to get x
100/0.10149522467512=x
985.26802930968=x
x=985.26802930968

now we have:
127.74 is 985.26802930968% of 12.965