43.1 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 43.1 of the output value, so we can write it down as x%=43.1.
5. Now we have two simple equations:
1) 100%=198
2) x%=43.1
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%=198/43.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.1 is what percent of 198

100%/x%=198/43.1
(100/x)*x=(198/43.1)*x       - we multiply both sides of the equation by x
100=4.5939675174014*x       - we divide both sides of the equation by (4.5939675174014) to get x
100/4.5939675174014=x
21.767676767677=x
x=21.767676767677

now we have:
43.1 is 21.767676767677% of 198