3.6 is what percent of 280.2 - 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 280.2 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 280.2, so we can write it down as 100%=280.2.
4. We know, that x% equals 3.6 of the output value, so we can write it down as x%=3.6.
5. Now we have two simple equations:
1) 100%=280.2
2) x%=3.6
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%=280.2/3.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.6 is what percent of 280.2

100%/x%=280.2/3.6
(100/x)*x=(280.2/3.6)*x       - we multiply both sides of the equation by x
100=77.833333333333*x       - we divide both sides of the equation by (77.833333333333) to get x
100/77.833333333333=x
1.2847965738758=x
x=1.2847965738758

now we have:
3.6 is 1.2847965738758% of 280.2