16.18 is what percent of 65.22 - 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 65.22 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 65.22, so we can write it down as 100%=65.22.
4. We know, that x% equals 16.18 of the output value, so we can write it down as x%=16.18.
5. Now we have two simple equations:
1) 100%=65.22
2) x%=16.18
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%=65.22/16.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.18 is what percent of 65.22

100%/x%=65.22/16.18
(100/x)*x=(65.22/16.18)*x       - we multiply both sides of the equation by x
100=4.0309023485785*x       - we divide both sides of the equation by (4.0309023485785) to get x
100/4.0309023485785=x
24.808340999693=x
x=24.808340999693

now we have:
16.18 is 24.808340999693% of 65.22