271.09 is what percent of 327.7 - 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 327.7 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 327.7, so we can write it down as 100%=327.7.
4. We know, that x% equals 271.09 of the output value, so we can write it down as x%=271.09.
5. Now we have two simple equations:
1) 100%=327.7
2) x%=271.09
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%=327.7/271.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.09 is what percent of 327.7

100%/x%=327.7/271.09
(100/x)*x=(327.7/271.09)*x       - we multiply both sides of the equation by x
100=1.2088236379062*x       - we divide both sides of the equation by (1.2088236379062) to get x
100/1.2088236379062=x
82.725053402502=x
x=82.725053402502

now we have:
271.09 is 82.725053402502% of 327.7