199.69 is what percent of 12027.67 - 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 12027.67 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 12027.67, so we can write it down as 100%=12027.67.
4. We know, that x% equals 199.69 of the output value, so we can write it down as x%=199.69.
5. Now we have two simple equations:
1) 100%=12027.67
2) x%=199.69
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%=12027.67/199.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.69 is what percent of 12027.67

100%/x%=12027.67/199.69
(100/x)*x=(12027.67/199.69)*x       - we multiply both sides of the equation by x
100=60.231709149181*x       - we divide both sides of the equation by (60.231709149181) to get x
100/60.231709149181=x
1.6602550618698=x
x=1.6602550618698

now we have:
199.69 is 1.6602550618698% of 12027.67