272.17 is what percent of 387.69 - 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 387.69 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 387.69, so we can write it down as 100%=387.69.
4. We know, that x% equals 272.17 of the output value, so we can write it down as x%=272.17.
5. Now we have two simple equations:
1) 100%=387.69
2) x%=272.17
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%=387.69/272.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 272.17 is what percent of 387.69

100%/x%=387.69/272.17
(100/x)*x=(387.69/272.17)*x       - we multiply both sides of the equation by x
100=1.4244406069736*x       - we divide both sides of the equation by (1.4244406069736) to get x
100/1.4244406069736=x
70.202997240063=x
x=70.202997240063

now we have:
272.17 is 70.202997240063% of 387.69