Question

in 2008, 35.4% of all tax filers paid no income taxes. this percentage is 10.8% more than the percentage of who paid no income taxes. find the percentage of tax filers who paid no income taxes in 1999. the percentage of tax filers who paid no income taxes in 1999 was \\(\square\\)%. (type an integer or a decimal.)

Explanation:

Step1: Define variable for 1999 percentage

Let $x$ = 1999 percentage (in decimal)

Step2: Set up equation for 2008 value

2008 percentage = $x + 0.108x = 1.108x$

Step3: Solve for $x$

Set $1.108x = 0.354$, so $x = \frac{0.354}{1.108}$

Step4: Calculate final percentage

$x \approx 0.3195$, convert to %: $0.3195 \times 100 = 31.95$

Answer:

31.95