157.7 is what percent of 127.7 - 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 127.7 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 127.7, so we can write it down as 100%=127.7.
4. We know, that x% equals 157.7 of the output value, so we can write it down as x%=157.7.
5. Now we have two simple equations:
1) 100%=127.7
2) x%=157.7
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%=127.7/157.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.7 is what percent of 127.7

100%/x%=127.7/157.7
(100/x)*x=(127.7/157.7)*x       - we multiply both sides of the equation by x
100=0.80976537729867*x       - we divide both sides of the equation by (0.80976537729867) to get x
100/0.80976537729867=x
123.49256068912=x
x=123.49256068912

now we have:
157.7 is 123.49256068912% of 127.7