What Percent Of 150 Is 90

What Percent of 150 is 90? A Simple Percentage Calculation Explained

Finding out what percentage 90 represents of 150 is a common mathematical problem with applications in various fields, from calculating grades to determining discounts. This article will guide you through the steps to solve this, offering a clear understanding of the process and providing you with the tools to solve similar percentage problems.

Understanding the Problem:

The core question is: 90 is what percent of 150? To solve this, we need to convert this word problem into a mathematical equation. We'll use the formula:

(Part / Whole) * 100 = Percentage

In this case:

• Part: 90 (the smaller number)
• Whole: 150 (the larger number)

Step-by-Step Calculation:

1. Substitute the values: Replace "Part" and "Whole" with their respective values in the formula:

   (90 / 150) * 100 = Percentage

2. Divide the Part by the Whole: Perform the division within the parentheses:

   (0.6) * 100 = Percentage

3. Multiply by 100: Multiply the result by 100 to express it as a percentage:

   60 = Percentage

Therefore, 90 is 60% of 150.

Alternative Method: Using Proportions

Another way to approach this problem is using proportions. We can set up a proportion like this:

x / 100 = 90 / 150

Where 'x' represents the percentage we're trying to find. To solve for x:

1. Cross-multiply: Multiply 90 by 100 and 150 by x:

   9000 = 150x

2. Solve for x: Divide both sides by 150:

   x = 60

This confirms our previous answer: 60%.

Practical Applications:

Understanding percentage calculations has widespread applications:

• Grade calculations: If you scored 90 out of 150 on a test, your percentage score is 60%.
• Discount calculations: A 60% discount on an item originally priced at $150 would mean a price reduction of $90.
• Sales performance: If a sales target is 150 units and 90 units have been sold, the sales achievement is 60%.
• Data analysis: Percentage calculations are fundamental in data interpretation and presentation.

Conclusion:

Calculating percentages is a crucial skill for everyday life and various professional contexts. This article has demonstrated two effective methods to determine that 90 is 60% of 150. Remember the formula and the steps, and you'll be well-equipped to tackle similar percentage problems confidently. Practice makes perfect – try solving some percentage problems on your own to reinforce your understanding!