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What is the percentage increase/decrease?


What is the value of percentage increase?


What is the value of percentage decrease?


What is percent error between Experimental and Theoretical value?




What is a Percentage?

A percentage is fundamentally a fraction of 100. It's a method of putting a fraction of a whole into hundredths. For example, 50% is equal to 50 / 100, or 0.50 in decimal notation. A percentage is represented by the symbol '%'.

Calculating the Percentage and Decimal Conversion

It is simple to convert between decimals and percentages. Divide a percentage by 100 to convert it to a decimal. On the other hand, multiply a decimal by 100 to convert it to a percentage.

Simple Calculations for Percentages

Value from Percentage

We apply the following formula to get a percentage of a given value: V = P 100 × X , where V is the result, P is the percentage, and X is the initial value.

For example, to find 20% of 300:

V = 20 100 × 300 = 60

Converting Value to Percentage

On the other hand, we apply the following formula to find the percentage that one value represents of another:

P = X 1 X 2 × 100 .

For example, what proportion of 200 is 80?

P = 80 200 × 100 = 40 %

Percentage Increase/Decrease

Percentages are essential when handling value fluctuations. The formula is used to calculate the % change in value between two values: P = V 2 V 1 V 1 × 100 .

  • Example 1: Percentage Increase

    If a product's price increases from $200 to $240:

    P = 240 200 200 × 100 = 20 %

  • Example 2: Percentage Decrease

    On the other hand, if the cost decreases from $200 to $180:

    P = 180 200 200 × 100 = 10 % The negative sign indicates a decrease.

Practical Applications

  • Financial Management

    Percentages are essential in financial management for tasks like discount calculations and interest rate comprehension. Percentage calculations help you make wise decisions while you're investing, budgeting, or reviewing financial statements.

  • Everyday Scenarios

    In many situations in our daily lives, percentages are present. A solid understanding of percentages improves our capacity to deal with everyday obstacles, from evaluating discounts during shopping to comprehending tax ramifications.

  • Educational Pursuits

    Percentages serve as the basis for numerous topics for students studying business studies, economics, or mathematics. Gaining proficiency in calculating percentages is crucial for both academic achievement and practical applications.