271.25 is what percent of 1485 - 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 1485 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 1485, so we can write it down as 100%=1485.
4. We know, that x% equals 271.25 of the output value, so we can write it down as x%=271.25.
5. Now we have two simple equations:
1) 100%=1485
2) x%=271.25
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%=1485/271.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.25 is what percent of 1485

100%/x%=1485/271.25
(100/x)*x=(1485/271.25)*x       - we multiply both sides of the equation by x
100=5.4746543778802*x       - we divide both sides of the equation by (5.4746543778802) to get x
100/5.4746543778802=x
18.265993265993=x
x=18.265993265993

now we have:
271.25 is 18.265993265993% of 1485