3.62 is what percent of 16.408 - 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 16.408 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 16.408, so we can write it down as 100%=16.408.
4. We know, that x% equals 3.62 of the output value, so we can write it down as x%=3.62.
5. Now we have two simple equations:
1) 100%=16.408
2) x%=3.62
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%=16.408/3.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.62 is what percent of 16.408

100%/x%=16.408/3.62
(100/x)*x=(16.408/3.62)*x       - we multiply both sides of the equation by x
100=4.5325966850829*x       - we divide both sides of the equation by (4.5325966850829) to get x
100/4.5325966850829=x
22.06240858118=x
x=22.06240858118

now we have:
3.62 is 22.06240858118% of 16.408