16.84 is what percent of 464 - 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 464 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 464, so we can write it down as 100%=464.
4. We know, that x% equals 16.84 of the output value, so we can write it down as x%=16.84.
5. Now we have two simple equations:
1) 100%=464
2) x%=16.84
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%=464/16.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.84 is what percent of 464

100%/x%=464/16.84
(100/x)*x=(464/16.84)*x       - we multiply both sides of the equation by x
100=27.553444180523*x       - we divide both sides of the equation by (27.553444180523) to get x
100/27.553444180523=x
3.6293103448276=x
x=3.6293103448276

now we have:
16.84 is 3.6293103448276% of 464