16.3 is what percent of 20.49 - 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 20.49 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 20.49, so we can write it down as 100%=20.49.
4. We know, that x% equals 16.3 of the output value, so we can write it down as x%=16.3.
5. Now we have two simple equations:
1) 100%=20.49
2) x%=16.3
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%=20.49/16.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.3 is what percent of 20.49

100%/x%=20.49/16.3
(100/x)*x=(20.49/16.3)*x       - we multiply both sides of the equation by x
100=1.2570552147239*x       - we divide both sides of the equation by (1.2570552147239) to get x
100/1.2570552147239=x
79.551000488043=x
x=79.551000488043

now we have:
16.3 is 79.551000488043% of 20.49