20.49 is what percent of 16.49 - 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 16.49 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 16.49, so we can write it down as 100%=16.49.
4. We know, that x% equals 20.49 of the output value, so we can write it down as x%=20.49.
5. Now we have two simple equations:
1) 100%=16.49
2) x%=20.49
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%=16.49/20.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.49 is what percent of 16.49

100%/x%=16.49/20.49
(100/x)*x=(16.49/20.49)*x       - we multiply both sides of the equation by x
100=0.80478282088824*x       - we divide both sides of the equation by (0.80478282088824) to get x
100/0.80478282088824=x
124.25712553062=x
x=124.25712553062

now we have:
20.49 is 124.25712553062% of 16.49