195.96 is what percent of 272.64 - 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 272.64 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 272.64, so we can write it down as 100%=272.64.
4. We know, that x% equals 195.96 of the output value, so we can write it down as x%=195.96.
5. Now we have two simple equations:
1) 100%=272.64
2) x%=195.96
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%=272.64/195.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 195.96 is what percent of 272.64

100%/x%=272.64/195.96
(100/x)*x=(272.64/195.96)*x       - we multiply both sides of the equation by x
100=1.3913043478261*x       - we divide both sides of the equation by (1.3913043478261) to get x
100/1.3913043478261=x
71.875=x
x=71.875

now we have:
195.96 is 71.875% of 272.64