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One year, the population of a city was 391,000 . Several years later it was 355,810 . Find the percent decrease.
Answer: _____
%

One year, the population of a city was $391$ , $000$ . Several years later it was $355$ , $810$ . Find the percent decrease. $\newline$ Answer:_____ $\%$

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Percent of change: word problems

Full solution

Q. One year, the population of a city was

391

,

000

. Several years later it was

355

,

810

. Find the percent decrease.

\newline

Answer:_____

\%

Calculate Population Difference: Calculate the difference in population between the two years. $\newline$ Population in the first year: $391,000$ $\newline$ Population several years later: $355,810$ $\newline$ Difference in population: $391,000 - 355,810 = 35,190$
Calculate Percentage Decrease: Calculate the percentage decrease in population. $\newline$ Original population: $391,000$ $\newline$ Decrease in population: $35,190$ $\newline$ Percentage decrease = $(35,190 / 391,000) \times 100\%$
Perform Division and Multiplication: Perform the division and multiplication to find the percentage. $\newline$ Percentage decrease = $(35,190 / 391,000) \times 100\%$ $\newline$ Percentage decrease = $0.08997442 \times 100\%$ $\newline$ Percentage decrease = $8.997442\%$
Round Percentage Decrease: Round the percentage decrease to a more conventional number of decimal places, typically two. $\newline$ Percentage decrease $\approx 9.00\%$

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