11.22 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 11.22 of the output value, so we can write it down as x%=11.22.
5. Now we have two simple equations:
1) 100%=280
2) x%=11.22
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%=280/11.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.22 is what percent of 280

100%/x%=280/11.22
(100/x)*x=(280/11.22)*x       - we multiply both sides of the equation by x
100=24.955436720143*x       - we divide both sides of the equation by (24.955436720143) to get x
100/24.955436720143=x
4.0071428571429=x
x=4.0071428571429

now we have:
11.22 is 4.0071428571429% of 280