198.65 is what percent of 3108.93 - 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 3108.93 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 3108.93, so we can write it down as 100%=3108.93.
4. We know, that x% equals 198.65 of the output value, so we can write it down as x%=198.65.
5. Now we have two simple equations:
1) 100%=3108.93
2) x%=198.65
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%=3108.93/198.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198.65 is what percent of 3108.93

100%/x%=3108.93/198.65
(100/x)*x=(3108.93/198.65)*x       - we multiply both sides of the equation by x
100=15.650289453813*x       - we divide both sides of the equation by (15.650289453813) to get x
100/15.650289453813=x
6.3896581782157=x
x=6.3896581782157

now we have:
198.65 is 6.3896581782157% of 3108.93