198 is what percent of 3 - 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 3 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 3, so we can write it down as 100%=3.
4. We know, that x% equals 198 of the output value, so we can write it down as x%=198.
5. Now we have two simple equations:
1) 100%=3
2) x%=198
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%=3/198
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198 is what percent of 3

100%/x%=3/198
(100/x)*x=(3/198)*x       - we multiply both sides of the equation by x
100=0.015151515151515*x       - we divide both sides of the equation by (0.015151515151515) to get x
100/0.015151515151515=x
6600=x
x=6600

now we have:
198 is 6600% of 3