690 Is 23 Of What Number

690 is 23% of What Number? A Step-by-Step Guide

Finding the whole number when you know a percentage and its corresponding part is a common mathematical problem. This guide will walk you through solving "690 is 23% of what number?" using two different methods: the equation method and the unitary method. Understanding these methods will equip you with valuable skills applicable to various percentage problems.

Meta Description: Learn how to solve percentage problems! This article provides a clear, step-by-step explanation of how to determine the original number when 23% of it equals 690, using both equation and unitary methods.

Method 1: Using an Equation

This method involves setting up and solving a simple algebraic equation. Let's represent the unknown number as 'x'. The problem can be translated into the following equation:

0.23x = 690

To solve for 'x', we need to isolate it. We can do this by dividing both sides of the equation by 0.23:

x = 690 / 0.23

Calculating this gives us:

x = 3000

Therefore, 690 is 23% of 3000.

Method 2: The Unitary Method

The unitary method focuses on finding the value of one unit (1%) before scaling it up to the required percentage.

1. Find 1%: If 23% of a number is 690, then we can find 1% by dividing 690 by 23:

   690 / 23 = 30

   This means 1% of the number is 30.

2. Find 100%: To find the whole number (100%), we multiply the value of 1% by 100:

   30 * 100 = 3000

Therefore, using the unitary method, we also arrive at the conclusion that 690 is 23% of 3000.

Practical Applications of Percentage Calculations

Understanding how to calculate percentages is crucial in many real-world scenarios, including:

• Finance: Calculating interest, discounts, taxes, and profit margins.
• Retail: Determining sale prices, markups, and profit percentages.
• Statistics: Analyzing data and interpreting percentages in surveys and reports.
• Science: Expressing experimental results and calculating concentrations.

Mastering percentage calculations will significantly enhance your problem-solving skills and ability to analyze numerical data effectively. Whether you're tackling complex financial equations or simply calculating a tip at a restaurant, the principles discussed here will prove invaluable. Remember, practice is key to solidifying your understanding!