Understanding Percent Increase: 2184 is 9.2% Larger than 2000

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To determine how much larger 2184 is than 2000 in percent, the correct calculation involves finding the difference between the two numbers, which is 184. This difference is then divided by the original number, 2000, and multiplied by 100 to express it as a percentage. The calculation is 184/2000 * 100, resulting in a 9.2% increase. The confusion arose from incorrect initial attempts at the calculation. Ultimately, 2184 is confirmed to be 9.2% larger than 2000.
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Homework Statement



How much larger than 2000 is 2184 in percent?

2. The attempt at a solution

I'm struggling with understanding what figure should be divided by the other.
If I do 2000/2184*100 I get 91.6, obviously not the right answer. If I do 2184/2000*100 I get 109.2, leading me to think that 9.2 is the correct answer, but still it's not in percent form...
 
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How much LARGER is it. The difference is 184. So the percentage is 184/2000 * 100, which is 9.2%. You were correct.
 
Ah, excellent! Thx
 
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