16.99 is what percent of 46.49 - 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 46.49 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 46.49, so we can write it down as 100%=46.49.
4. We know, that x% equals 16.99 of the output value, so we can write it down as x%=16.99.
5. Now we have two simple equations:
1) 100%=46.49
2) x%=16.99
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%=46.49/16.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.99 is what percent of 46.49

100%/x%=46.49/16.99
(100/x)*x=(46.49/16.99)*x       - we multiply both sides of the equation by x
100=2.7363154796939*x       - we divide both sides of the equation by (2.7363154796939) to get x
100/2.7363154796939=x
36.545493654549=x
x=36.545493654549

now we have:
16.99 is 36.545493654549% of 46.49