16 is what percent of 22.4 - 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 22.4 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 22.4, so we can write it down as 100%=22.4.
4. We know, that x% equals 16 of the output value, so we can write it down as x%=16.
5. Now we have two simple equations:
1) 100%=22.4
2) x%=16
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%=22.4/16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16 is what percent of 22.4

100%/x%=22.4/16
(100/x)*x=(22.4/16)*x       - we multiply both sides of the equation by x
100=1.4*x       - we divide both sides of the equation by (1.4) to get x
100/1.4=x
71.428571428571=x
x=71.428571428571

now we have:
16 is 71.428571428571% of 22.4