20 is what percent of 13.76 - 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 13.76 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 13.76, so we can write it down as 100%=13.76.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=13.76
2) x%=20
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%=13.76/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 13.76

100%/x%=13.76/20
(100/x)*x=(13.76/20)*x       - we multiply both sides of the equation by x
100=0.688*x       - we divide both sides of the equation by (0.688) to get x
100/0.688=x
145.3488372093=x
x=145.3488372093

now we have:
20 is 145.3488372093% of 13.76