5 Common Mistakes When Calculating Percentage Increase
Mistake #1: Dividing by the NEW Value
This is the most frequent error.
- Wrong:
(New - Old) / New - Right:
(New - Old) / Old
Why it matters: If a price goes from $100 to $150:
- Correct (Divide by Old): 50 / 100 = 50% increase.
- Wrong (Divide by New): 50 / 150 = 33%.
33% is actually the margin, not the mark-up. Always divide by the starting number to find growth.
Mistake #2: Adding Sequential Percentages
"My portfolio went up 10%, then another 10%. So I'm up 20%, right?" Wrong.
Percentages compound (multiply), they don't add.
- Start: $100
- +10%: $110
- +10% on $110: $121
Total Increase: $21, which is 21%, not 20%. The larger the numbers, the bigger this gap becomes. Always calculate the total change from Start to Finish using the Investment Return Calculator.
Mistake #3: Confusing "Percent" vs "Percentage Points"
We wrote a full guide on this, but it bears repeating. If a tax rate goes from 5% to 6%:
- It increased by 1 percentage point.
- It increased by 20% mathematically ((6-5)/5).
Reporting this wrong can be misleading. Be precise with your terms.
Mistake #4: The Asymmetry of Loss
If you lose 50%, you need a 50% gain to get back to even, right? Wrong.
- Start: $100
- Lose 50% = $50
- Gain 50% on $50 = $75. (You are still down $25!)
To recover from a 50% loss ($50 back to $100), you need a 100% gain. This is why losses hurt portfolios so much more than gains help them.
Mistake #5: Calculating Increase from Zero
"My sales went from $0 to $1000. What is the percentage growth?" Undefined.
You cannot divide by zero. Mathematically, the growth is infinite, but in practical terms (like for a Sales Growth Calculator), it's usually marked as "New" or treated as an absolute gain rather than a percentage.
Summary
Math requires precision.
- Always divide by the Old Value.
- Multiply growth stages, don't add them.
- Know the difference between % and pp.
Check your work freely with our suite of calculators:
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