13.6 is what percent of 276.3 - 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 276.3 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 276.3, so we can write it down as 100%=276.3.
4. We know, that x% equals 13.6 of the output value, so we can write it down as x%=13.6.
5. Now we have two simple equations:
1) 100%=276.3
2) x%=13.6
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%=276.3/13.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.6 is what percent of 276.3

100%/x%=276.3/13.6
(100/x)*x=(276.3/13.6)*x       - we multiply both sides of the equation by x
100=20.316176470588*x       - we divide both sides of the equation by (20.316176470588) to get x
100/20.316176470588=x
4.9221860296779=x
x=4.9221860296779

now we have:
13.6 is 4.9221860296779% of 276.3