How do you add percentage value?

Adding percentage values depends on what you're trying to calculate. There are a few common scenarios:

1. Adding a Percentage to a Value: This increases the original value by the specified percentage.

• Method 1: Convert the percentage to a decimal. Divide the percentage by 100. Multiply the original value by this decimal, and then add that result to the original value.

  • Example: Add 15% to $100.
    • 15% = 15 / 100 = 0.15
    • Increase = 0.15 * $100 = $15
    • New Value = $100 + $15 = $115

• Method 2: Calculate the new value directly. Add 100 to the percentage, then convert to a decimal and multiply by the original value.

  • Example: Add 15% to $100.
    • 100% + 15% = 115%
    • 115% = 115 / 100 = 1.15
    • New Value = 1.15 * $100 = $115

2. Adding Percentages Themselves (if they refer to the same base): If the percentages refer to the same base value, you can simply add them together.

• Example: If 20% of your sales come from online marketing and 30% come from email marketing, then 20% + 30% = 50% of your sales come from those two sources.

3. Adding Percentages of Different Bases: If the percentages refer to different base values, you cannot simply add them. You must calculate the absolute value of each percentage and then potentially combine those values, depending on what you're trying to determine.

• Example: What is the total weight of two boxes where one box contains 10% iron and the other contains 20% iron?
  • Box 1 weighs 50 lbs and is 10% iron. The iron in this box weighs 0.10 * 50 lbs = 5 lbs.
  • Box 2 weighs 25 lbs and is 20% iron. The iron in this box weighs 0.20 * 25 lbs = 5 lbs.
  • The total amount of iron is 5 lbs + 5 lbs = 10 lbs. Note that simply adding the percentages (10% + 20% = 30%) would provide meaningless information.

Key Considerations:

• Base Value: Always be aware of the "base" or original value to which the percentage is applied.
• Context: The method for adding percentages depends heavily on the context of the problem. Are you increasing a value, combining parts of a whole, or something else?

In summary, adding percentage values requires careful consideration of the base values and the specific context of the problem. Directly adding percentages is only valid when they relate to the same base. Otherwise, convert to absolute values and add those.