13.83 is what percent of 276.6 - 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 276.6 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 276.6, so we can write it down as 100%=276.6.
4. We know, that x% equals 13.83 of the output value, so we can write it down as x%=13.83.
5. Now we have two simple equations:
1) 100%=276.6
2) x%=13.83
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%=276.6/13.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.83 is what percent of 276.6

100%/x%=276.6/13.83
(100/x)*x=(276.6/13.83)*x       - we multiply both sides of the equation by x
100=20*x       - we divide both sides of the equation by (20) to get x
100/20=x
5=x
x=5

now we have:
13.83 is 5% of 276.6