16.77 is what percent of 123.61 - 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 123.61 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 123.61, so we can write it down as 100%=123.61.
4. We know, that x% equals 16.77 of the output value, so we can write it down as x%=16.77.
5. Now we have two simple equations:
1) 100%=123.61
2) x%=16.77
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%=123.61/16.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.77 is what percent of 123.61

100%/x%=123.61/16.77
(100/x)*x=(123.61/16.77)*x       - we multiply both sides of the equation by x
100=7.370900417412*x       - we divide both sides of the equation by (7.370900417412) to get x
100/7.370900417412=x
13.566863522369=x
x=13.566863522369

now we have:
16.77 is 13.566863522369% of 123.61