127.93 is what percent of 1262.25 - 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 1262.25 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 1262.25, so we can write it down as 100%=1262.25.
4. We know, that x% equals 127.93 of the output value, so we can write it down as x%=127.93.
5. Now we have two simple equations:
1) 100%=1262.25
2) x%=127.93
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%=1262.25/127.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.93 is what percent of 1262.25

100%/x%=1262.25/127.93
(100/x)*x=(1262.25/127.93)*x       - we multiply both sides of the equation by x
100=9.8667239896819*x       - we divide both sides of the equation by (9.8667239896819) to get x
100/9.8667239896819=x
10.135076252723=x
x=10.135076252723

now we have:
127.93 is 10.135076252723% of 1262.25