# Percentage Subtraction

$c=a-b \% \times \frac{a}{100}$

## 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

1. Percentage: A fraction of 100, denoted using the symbol %.
2. Original Number: The initial value from which a percentage will be subtracted.
3. 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

1. Convert the percentage to a decimal: Divide the percentage by 100.
2. Multiply the original number by this decimal: This gives you the value of the percentage of the original number.
3. 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