10 Is What Percent Of 90

10 is What Percent of 90? A Simple Percentage Calculation Explained

Meta Description: Learn how to calculate percentages easily! This guide breaks down how to determine what percent 10 is of 90, explaining the process step-by-step and providing helpful tips for similar percentage problems.

Finding out what percentage 10 represents of 90 is a fundamental percentage calculation. Understanding this process is crucial for various applications, from everyday budgeting and shopping to more complex mathematical problems. This guide will clearly outline how to solve this problem and equip you with the skills to tackle similar percentage calculations.

Understanding Percentage Calculations

Before diving into the solution, let's quickly refresh the concept of percentages. A percentage is a fraction or ratio expressed as a number out of 100. The symbol % represents "per cent," meaning "out of one hundred." For example, 50% means 50 out of 100, or 50/100, which simplifies to 1/2.

Calculating "10 is What Percent of 90?"

To figure out what percent 10 is of 90, we follow these steps:

1. Set up the equation: We can represent the problem as a fraction: 10/90. This fraction represents the portion (10) out of the total (90).

2. Convert the fraction to a decimal: Divide the numerator (10) by the denominator (90): 10 ÷ 90 = 0.1111 (approximately).

3. Convert the decimal to a percentage: Multiply the decimal by 100%: 0.1111 × 100% = 11.11% (approximately).

Therefore, 10 is approximately 11.11% of 90.

Rounding and Precision

Note that the answer is an approximation. The decimal 0.1111... is a recurring decimal. Depending on the context, you might round this to a simpler percentage, such as 11% or 11.1%. The level of precision you need depends on the application. For most everyday purposes, rounding to one or two decimal places is sufficient.

Applying the Percentage Formula

A more formal approach uses the basic percentage formula:

(Part / Whole) x 100% = Percentage

In our case:

(10 / 90) x 100% = 11.11%

Practice Problems

To solidify your understanding, try solving these similar problems:

• What percent of 50 is 20?
• What percent of 120 is 30?
• 25 is what percent of 75?

By mastering these basic percentage calculations, you'll enhance your problem-solving skills across numerous contexts – from personal finance and academic studies to professional settings. Remember to practice regularly to build confidence and fluency.