How do you find the percent change given before:260 and after:160?

Question

HIX Tutor · Accepted Answer

undefined Here’s how to find the percent change step by step:

1. **Find the difference**: 
   - Subtract the new number from the old number. 
   - $ 260 - 160 = 100 $

2. **Divide the difference by the old number**: 
   - Take the difference (100) and divide it by the old number (260). 
   - $ \frac{100}{260} \approx 0.3846 $

3. **Convert to percent**: 
   - Multiply by 100 to get a percent. 
   - $ 0.3846 \times 100 \approx 38.46 $

4. **Final answer**: 
   - The percent change is about **38.46%**.

You can round it to about **38%** if you want!

Kennedy Adams · Answer

There was a -38.5% change rounded to the nearest tenth.

The formula for percent change over time is: #p = (N - O)/O*100# where #p# is the percent change, #N# is the New Value and #O# is the Old Value. In this problem we are given the Old Value (or before) as 260 and the New Value (or after) as 160. We can substitute these into the formula and calculate the percent change: #p =(160 - 260)/260*100# #p = -100/260*100# #p = -10000/260# #p = -38.5# rounded to the nearest tenth

Nathan Axel · Answer

undefined To find the percent change, you first calculate the difference between the before and after values. Then, divide that difference by the original value (the before value). Finally, multiply the result by 100 to express it as a percentage.

Percent Change = ((After - Before) / Before) * 100

In this case: 
Percent Change = ((160 - 260) / 260) * 100 = (-100 / 260) * 100 ≈ -38.46%

So, the percent change is approximately -38.46%.