103.2 is what percent of 280 - 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 280 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 280, so we can write it down as 100%=280.
4. We know, that x% equals 103.2 of the output value, so we can write it down as x%=103.2.
5. Now we have two simple equations:
1) 100%=280
2) x%=103.2
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%=280/103.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.2 is what percent of 280

100%/x%=280/103.2
(100/x)*x=(280/103.2)*x       - we multiply both sides of the equation by x
100=2.7131782945736*x       - we divide both sides of the equation by (2.7131782945736) to get x
100/2.7131782945736=x
36.857142857143=x
x=36.857142857143

now we have:
103.2 is 36.857142857143% of 280