12.77 is what percent of 16.97 - 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 16.97 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 16.97, so we can write it down as 100%=16.97.
4. We know, that x% equals 12.77 of the output value, so we can write it down as x%=12.77.
5. Now we have two simple equations:
1) 100%=16.97
2) x%=12.77
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%=16.97/12.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.77 is what percent of 16.97

100%/x%=16.97/12.77
(100/x)*x=(16.97/12.77)*x       - we multiply both sides of the equation by x
100=1.3288958496476*x       - we divide both sides of the equation by (1.3288958496476) to get x
100/1.3288958496476=x
75.250441956394=x
x=75.250441956394

now we have:
12.77 is 75.250441956394% of 16.97