16.2 is what percent of 464.89869609 - 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 464.89869609 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 464.89869609, so we can write it down as 100%=464.89869609.
4. We know, that x% equals 16.2 of the output value, so we can write it down as x%=16.2.
5. Now we have two simple equations:
1) 100%=464.89869609
2) x%=16.2
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%=464.89869609/16.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.2 is what percent of 464.89869609

100%/x%=464.89869609/16.2
(100/x)*x=(464.89869609/16.2)*x       - we multiply both sides of the equation by x
100=28.697450375926*x       - we divide both sides of the equation by (28.697450375926) to get x
100/28.697450375926=x
3.4846301218414=x
x=3.4846301218414

now we have:
16.2 is 3.4846301218414% of 464.89869609