## Percentage Subtraction

A percentage subtraction calculator is a tool designed to help you find the result when a certain percentage of a number is subtracted from that number. This can be useful in various real-world scenarios, such as calculating discounts, determining depreciation, or finding out how much is left after a percentage is removed.

#### Features of a Percentage Subtraction Calculator

**1. Input Fields:**

– Original Number: The initial value or the number from which the percentage will be subtracted.

– Percentage: The percentage value to be subtracted from the original number.

**2. Calculation:**

– Calculates the value of the percentage of the original number.

– Subtracts this value from the original number to get the result.

**3. Output:**

– Displays the final value after the percentage has been subtracted from the original number.

#### Formula

The formula used by a percentage subtraction calculator is:

\[ \text{Result} = \text{Original Number} – \left( \frac{\text{Percentage}}{100} \times \text{Original Number} \right) \]

#### Example Usage

Example 1: Subtract 20% from 150.

1. Input:

– Original Number = 150

– Percentage = 20%

2. Calculation:

– Calculate 20% of 150:

\[ \frac{20}{100} \times 150 = 30 \]

– Subtract this value from 150:

\[ 150 – 30 = 120 \]

3. Output:

– The result is 120.

#### Steps in Using a Percentage Subtraction Calculator

1. Enter the Original Number: Input the initial value from which you want to subtract the percentage.

2. Enter the Percentage: Input the percentage that you want to subtract from the original number.

3. Calculate: The calculator will automatically perform the calculation and display the result.

#### Practical Applications

– Shopping Discounts: Determine the final price after applying a discount percentage.

– Financial Calculations: Calculate the remaining balance after a certain percentage of interest, fees, or depreciation.

– Health and Fitness: Calculate weight loss or gain percentages.

– Business: Assess reductions in revenue, costs, or any other financial metrics.

#### Example of Using an Online Percentage Subtraction Calculator

1. Enter values:

– Original Number: 250

– Percentage: 15%

2. Click “Calculate”: The tool will compute the result.

3. View the result:

– Calculation:

\[ \frac{15}{100} \times 250 = 37.5 \]

\[ 250 – 37.5 = 212.5 \]

– Output: 212.5

This type of calculator simplifies the process, especially when dealing with complex numbers or when quick, accurate results are needed.

### Introduction to Percentage Subtraction

**Percentage Subtraction** involves finding a percentage of a given number and then subtracting that value from the original number. This is useful in various real-world contexts such as calculating discounts, depreciation, and decreases in quantities.

#### Key Concepts

**Percentage**: A fraction of 100, denoted using the symbol`%`

.**Original Number**: The initial value from which a percentage will be subtracted.**Percentage Value**: The portion of the original number represented by the percentage.

#### Formula for Percentage Subtraction

The basic formula to subtract a percentage from a number is:

\[ \text{Result} = \text{Original Number} – \left( \frac{\text{Percentage}}{100} \times \text{Original Number} \right) \]

#### Steps to Perform Percentage Subtraction

**Convert the percentage to a decimal**: Divide the percentage by 100.**Multiply the original number by this decimal**: This gives you the value of the percentage of the original number.**Subtract this value from the original number**: The result is the original number minus the percentage of the original number.

### Examples

Problem: Subtract 20% from 150.

1. Convert Percentage to Decimal:

\[ \frac{20}{100} = 0.20 \]

2. Calculate 20% of 150:

\[ 150 \times 0.20 = 30 \]

3. Subtract from Original Number:

\[ 150 – 30 = 120 \]

Result: 120

#### Example 2: Subtracting a Smaller Percentage

Problem: Subtract 5% from 200.

1. Convert Percentage to Decimal:

\[ \frac{5}{100} = 0.05 \]

2. Calculate 5% of 200:

\[ 200 \times 0.05 = 10 \]

3. Subtract from Original Number:

\[ 200 – 10 = 190 \]

Result: 190

#### Example 3: Subtracting a Larger Percentage

Problem: Subtract 75% from 400.

1. Convert Percentage to Decimal:

\[ \frac{75}{100} = 0.75 \]

2. Calculate 75% of 400:

\[ 400 \times 0.75 = 300 \]

3. Subtract from Original Number:

\[ 400 – 300 = 100 \]

Result: 100