127.7 is what percent of 159 - 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 159 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 159, so we can write it down as 100%=159.
4. We know, that x% equals 127.7 of the output value, so we can write it down as x%=127.7.
5. Now we have two simple equations:
1) 100%=159
2) x%=127.7
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%=159/127.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.7 is what percent of 159

100%/x%=159/127.7
(100/x)*x=(159/127.7)*x       - we multiply both sides of the equation by x
100=1.2451057165231*x       - we divide both sides of the equation by (1.2451057165231) to get x
100/1.2451057165231=x
80.314465408805=x
x=80.314465408805

now we have:
127.7 is 80.314465408805% of 159