What is the percent of change of 24 songs to 78 songs
The Correct Answer and Explanation is:
To find the percent of change from 24 songs to 78 songs, we can use the following formula for percent change:
[
\text{Percent Change} = \frac{\text{New Value} – \text{Old Value}}{\text{Old Value}} \times 100
]
Where:
- New Value is the final amount (78 songs),
- Old Value is the initial amount (24 songs).
Step 1: Subtract the Old Value from the New Value
First, subtract the initial number of songs from the final number:
[
78 – 24 = 54
]
So, the increase in the number of songs is 54.
Step 2: Divide the Difference by the Old Value
Next, divide the increase (54 songs) by the original number of songs (24 songs):
[
\frac{54}{24} = 2.25
]
Step 3: Multiply by 100 to Get the Percent
Finally, multiply the result by 100 to convert it to a percentage:
[
2.25 \times 100 = 225\%
]
Explanation:
The percent change from 24 songs to 78 songs is 225%. This means that the number of songs increased by 225% from the original amount. To understand this more clearly, let’s break it down:
- The initial 24 songs are considered the base or starting point.
- The increase from 24 to 78 songs represents an addition of 54 songs.
- The 225% change indicates that the new number of songs is more than double the original number, specifically, 2.25 times the original number.
This large percent change reflects a significant increase in the number of songs, demonstrating that the total number of songs grew substantially over the time period being measured. In real-world terms, this might represent a playlist or collection that expanded significantly.