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Percentage

Reference data and engineering information about percentage for miscellaneous applications.

percentage

Overview

Engineering reference data for Percentage in miscellaneous.

Key Formulas

Unit Conversion

y=xky = x \cdot k

Multiply by conversion factor.

Linear Interpolation

y=y1+(xx1)(y2y1)x2x1y = y_1 + \frac{(x - x_1)(y_2 - y_1)}{x_2 - x_1}

Estimate between two known points.

Percentage

p=partwhole×100%p = \frac{\text{part}}{\text{whole}} \times 100\%

Part as fraction of whole.

Variables

SymbolDescriptionUnit
xxInput value
yyOutput value
kkConversion factor

Percentage Change Formula

For calculating the percentage change between an original value and a new value, use the following formula:

p=100%×New ValueOriginal ValueOriginal Valuep = 100\% \times \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}}

This formula applies to both percentage increases and decreases.

Practical Examples

Example 1: Material Cost Percentage

Given part P=100000P = 100000 and whole W=200000W = 200000, the percentage cost of materials is:

p=100%×100000200000=50%p = 100\% \times \frac{100000}{200000} = 50\%

Example 2: Engine Weight Percentage

Weight of the engine P=200kgP = 200 \, \text{kg}, total car weight W=1500kgW = 1500 \, \text{kg}. The percentage weight is:

p=100%×200150013.3%p = 100\% \times \frac{200}{1500} \approx 13.3\%

Example 3: Percentage Increase in Price

Original price = 100000100000, new price = 120000120000. The percentage increase is:

p=100%×120000100000100000=20%p = 100\% \times \frac{120000 - 100000}{100000} = 20\%

Example 4: Percentage Decrease in Price

Original price = 100000100000, new price = 8000080000. The percentage decrease is:

p=100%×10000080000100000=20%p = 100\% \times \frac{100000 - 80000}{100000} = 20\%

References