Percent Increase and Decrease

Percent Increase

• A percent increase is a measure of how much a value has increased by a certain percentage.
• Formula: ((New Value - Original Value) / Original Value) x 100
• Example: If a shirt originally costs $20 and is now on sale for $24, the percent increase is ((24 - 20) / 20) x 100 = 20%

Percent Decrease

• A percent decrease is a measure of how much a value has decreased by a certain percentage.
• Formula: ((Original Value - New Value) / Original Value) x 100
• Example: If a TV originally costs $100 and is now on sale for $80, the percent decrease is ((100 - 80) / 100) x 100 = 20%

Key Concepts

• To find the new value after a percent increase or decrease, use the formula: New Value = Original Value x (1 + Percent Change/100)
• To find the original value, use the formula: Original Value = New Value / (1 + Percent Change/100)
• Be careful when working with percent changes, as the order of operations matters. Always follow the order of operations (PEMDAS) when working with percent changes.