172.8 is what percent of 215 - 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 215 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 215, so we can write it down as 100%=215.
4. We know, that x% equals 172.8 of the output value, so we can write it down as x%=172.8.
5. Now we have two simple equations:
1) 100%=215
2) x%=172.8
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%=215/172.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.8 is what percent of 215

100%/x%=215/172.8
(100/x)*x=(215/172.8)*x       - we multiply both sides of the equation by x
100=1.244212962963*x       - we divide both sides of the equation by (1.244212962963) to get x
100/1.244212962963=x
80.372093023256=x
x=80.372093023256

now we have:
172.8 is 80.372093023256% of 215