31.1 is what percent of 198 - 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 198 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 198, so we can write it down as 100%=198.
4. We know, that x% equals 31.1 of the output value, so we can write it down as x%=31.1.
5. Now we have two simple equations:
1) 100%=198
2) x%=31.1
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%=198/31.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.1 is what percent of 198

100%/x%=198/31.1
(100/x)*x=(198/31.1)*x       - we multiply both sides of the equation by x
100=6.3665594855305*x       - we divide both sides of the equation by (6.3665594855305) to get x
100/6.3665594855305=x
15.707070707071=x
x=15.707070707071

now we have:
31.1 is 15.707070707071% of 198