0.9 is what percent of 127.5 - 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 127.5 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 127.5, so we can write it down as 100%=127.5.
4. We know, that x% equals 0.9 of the output value, so we can write it down as x%=0.9.
5. Now we have two simple equations:
1) 100%=127.5
2) x%=0.9
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%=127.5/0.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.9 is what percent of 127.5

100%/x%=127.5/0.9
(100/x)*x=(127.5/0.9)*x       - we multiply both sides of the equation by x
100=141.66666666667*x       - we divide both sides of the equation by (141.66666666667) to get x
100/141.66666666667=x
0.70588235294118=x
x=0.70588235294118

now we have:
0.9 is 0.70588235294118% of 127.5