3.49 is what percent of 16.16 - 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 16.16 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 16.16, so we can write it down as 100%=16.16.
4. We know, that x% equals 3.49 of the output value, so we can write it down as x%=3.49.
5. Now we have two simple equations:
1) 100%=16.16
2) x%=3.49
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%=16.16/3.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.49 is what percent of 16.16

100%/x%=16.16/3.49
(100/x)*x=(16.16/3.49)*x       - we multiply both sides of the equation by x
100=4.6303724928367*x       - we divide both sides of the equation by (4.6303724928367) to get x
100/4.6303724928367=x
21.596534653465=x
x=21.596534653465

now we have:
3.49 is 21.596534653465% of 16.16