14.89 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 14.89 of the output value, so we can write it down as x%=14.89.
5. Now we have two simple equations:
1) 100%=16.49
2) x%=14.89
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%=16.49/14.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.89 is what percent of 16.49

100%/x%=16.49/14.89
(100/x)*x=(16.49/14.89)*x       - we multiply both sides of the equation by x
100=1.1074546675621*x       - we divide both sides of the equation by (1.1074546675621) to get x
100/1.1074546675621=x
90.29714978775=x
x=90.29714978775

now we have:
14.89 is 90.29714978775% of 16.49