16.32 is what percent of 195.66 - 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 195.66 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 195.66, so we can write it down as 100%=195.66.
4. We know, that x% equals 16.32 of the output value, so we can write it down as x%=16.32.
5. Now we have two simple equations:
1) 100%=195.66
2) x%=16.32
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%=195.66/16.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.32 is what percent of 195.66

100%/x%=195.66/16.32
(100/x)*x=(195.66/16.32)*x       - we multiply both sides of the equation by x
100=11.988970588235*x       - we divide both sides of the equation by (11.988970588235) to get x
100/11.988970588235=x
8.3409996933456=x
x=8.3409996933456

now we have:
16.32 is 8.3409996933456% of 195.66