16.64 is what percent of 471.09 - 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 471.09 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 471.09, so we can write it down as 100%=471.09.
4. We know, that x% equals 16.64 of the output value, so we can write it down as x%=16.64.
5. Now we have two simple equations:
1) 100%=471.09
2) x%=16.64
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%=471.09/16.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.64 is what percent of 471.09

100%/x%=471.09/16.64
(100/x)*x=(471.09/16.64)*x       - we multiply both sides of the equation by x
100=28.310697115385*x       - we divide both sides of the equation by (28.310697115385) to get x
100/28.310697115385=x
3.5322337557579=x
x=3.5322337557579

now we have:
16.64 is 3.5322337557579% of 471.09