Question

suppose the population of a certain city is 5355 thousand. It is expected to decrease to 4566 thousand in 50 years. Find the percent decrease.

Answer 1

Answer: 14.7338936% decrease

$\frac{5355}{100} = \frac{4566}{x}$

cross-multiply

85.2661064 = x

100 - 85.2661064 = 14.7338936

Check: 0.852661064 * 5355 = 4566

If permitted, you may round for a simpler (yet less precise and exact) answer.  For instance, rounding to the hundredths would make it ~14.73%.