16.08 is what percent of 22.99 - 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 22.99 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 22.99, so we can write it down as 100%=22.99.
4. We know, that x% equals 16.08 of the output value, so we can write it down as x%=16.08.
5. Now we have two simple equations:
1) 100%=22.99
2) x%=16.08
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%=22.99/16.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.08 is what percent of 22.99

100%/x%=22.99/16.08
(100/x)*x=(22.99/16.08)*x       - we multiply both sides of the equation by x
100=1.4297263681592*x       - we divide both sides of the equation by (1.4297263681592) to get x
100/1.4297263681592=x
69.943453675511=x
x=69.943453675511

now we have:
16.08 is 69.943453675511% of 22.99