2.44 is what percent of 16.77 - 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 16.77 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 16.77, so we can write it down as 100%=16.77.
4. We know, that x% equals 2.44 of the output value, so we can write it down as x%=2.44.
5. Now we have two simple equations:
1) 100%=16.77
2) x%=2.44
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%=16.77/2.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.44 is what percent of 16.77

100%/x%=16.77/2.44
(100/x)*x=(16.77/2.44)*x       - we multiply both sides of the equation by x
100=6.8729508196721*x       - we divide both sides of the equation by (6.8729508196721) to get x
100/6.8729508196721=x
14.549791293977=x
x=14.549791293977

now we have:
2.44 is 14.549791293977% of 16.77