127.1 is what percent of 131.1 - 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 131.1 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 131.1, so we can write it down as 100%=131.1.
4. We know, that x% equals 127.1 of the output value, so we can write it down as x%=127.1.
5. Now we have two simple equations:
1) 100%=131.1
2) x%=127.1
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%=131.1/127.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.1 is what percent of 131.1

100%/x%=131.1/127.1
(100/x)*x=(131.1/127.1)*x       - we multiply both sides of the equation by x
100=1.0314712824548*x       - we divide both sides of the equation by (1.0314712824548) to get x
100/1.0314712824548=x
96.948893974066=x
x=96.948893974066

now we have:
127.1 is 96.948893974066% of 131.1