127.75 is what percent of 162.75 - 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 162.75 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 162.75, so we can write it down as 100%=162.75.
4. We know, that x% equals 127.75 of the output value, so we can write it down as x%=127.75.
5. Now we have two simple equations:
1) 100%=162.75
2) x%=127.75
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%=162.75/127.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.75 is what percent of 162.75

100%/x%=162.75/127.75
(100/x)*x=(162.75/127.75)*x       - we multiply both sides of the equation by x
100=1.2739726027397*x       - we divide both sides of the equation by (1.2739726027397) to get x
100/1.2739726027397=x
78.494623655914=x
x=78.494623655914

now we have:
127.75 is 78.494623655914% of 162.75