Math: Can you help me with this percentage problem?

Question

The population of the High school increased from 1800 students ten years ago to 1926 students last year. What was the percentage increase?

can you explain it to me because i don't get what to do.

Answer 1

(1926 - 1800) / 1800 = 7/100 = 7%

The population increased by 7%.

Good luck in your studies,

~ Mitch ~

Answer 2

The most straight-forward method to deal with this question is the same way you would treat any fraction you wished to turn into a percentage. You should use the formula;

(x)

------  x 100 = %  

(y)

i.e. to show you how this would work for a more obvious fraction,

3

-- = 0.75  .       0.75 x 100 = 75%

4

So for your problem,

1926

-------  = 1.07,     1.07 x100 = 107%

1800

Therefore you can see that the school's population has increased by 7%

(If you want to check this result you can use: 1926 - 1800 = 126;

126 ÷ 1800 = 0.07,  0.07 x 100 = 7%. [This proves that the increase is the same as 7% of the original population])

(if you want to ask me about a certain part of this, feel free)

Hope this helps!

T

Answer 3

First, subtract the numbers to know the increase, 1926 - 1800 = 126.

Second, divide the increase by the original number, 126/1800 = ,07

Third, convert to percentage by moving the decimal two places to the right, .07 = 7%

Answer 4

Set up a proportion.

1926 / 1800 = x / 100

(percents are always out of 100.

Cross multiply: 192600 = 1800x

x = 107%, which makes sense because the population increased.