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What is the percent of increase from 40 to \( 46 ? \)

Ask by Long Pollard. in the United States
Mar 14,2025

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Answer

The percent increase from 40 to 46 is 15%.

Solution

To find the percent increase from 40 to 46, we can follow these steps: 1. **Calculate the increase**: Subtract the original value from the new value. \[ \text{Increase} = 46 - 40 = 6 \] 2. **Calculate the percent increase**: Divide the increase by the original value and then multiply by 100 to convert it to a percentage. \[ \text{Percent Increase} = \left( \frac{\text{Increase}}{\text{Original Value}} \right) \times 100 = \left( \frac{6}{40} \right) \times 100 \] Now, let's calculate the percent increase. \[ \text{Percent Increase} = \left( \frac{6}{40} \right) \times 100 \] Calculating this gives: \[ \text{Percent Increase} = 0.15 \times 100 = 15\% \] Thus, the percent increase from 40 to 46 is \( 15\% \).

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The Deep Dive

To find the percent increase from 40 to 46, first, subtract the original value (40) from the new value (46) to get the increase, which is 6. Then, divide that increase by the original value (40), giving you \( \frac{6}{40} = 0.15 \). Multiply that result by 100 to convert it to a percentage: \( 0.15 \times 100 = 15\%\). So, the percent increase is 15%! Understanding percentages is a key skill in various fields! For example, in finance, knowing how much your investments have grown over time can help you make smarter decisions. Whether it's comparing interest rates or evaluating stock performance, mastering percentage calculations makes you a savvy investor! Want to impress the folks at your next BBQ? You can whip out this nifty trick: if you want to double-check your percent increase, remember to apply simple mental math! Instead of complex formulas, round your numbers to make calculations easier. For example, rounding 40 to 50 and witnessing a growth of 6 is almost a 12%! Just don’t stop here; keep practicing to master these math skills!

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