what percent of 75 is 90

less than a minute read 22-12-2024

What Percent of 75 is 90? Solving Percentage Problems

Finding what percent one number is of another is a common math problem. This article will walk you through how to solve "What percent of 75 is 90?" and provide you with the tools to tackle similar problems. This question involves calculating a percentage greater than 100%, meaning the resulting percentage will be over 100%.

Understanding the Problem

The question "What percent of 75 is 90?" can be rephrased as: "What percentage multiplied by 75 equals 90?" This sets up the equation we need to solve.

Setting Up the Equation

Let's represent the unknown percentage with the variable 'x'. We can translate the problem into the following equation:

75 * (x/100) = 90

This equation states that 75 multiplied by x percent (expressed as a decimal) equals 90.

Solving for x

To solve for 'x', follow these steps:

Isolate x: Divide both sides of the equation by 75:

(x/100) = 90 / 75
Simplify: Perform the division:

(x/100) = 1.2
Solve for x: Multiply both sides by 100 to find the percentage:

x = 1.2 * 100
Solution:

x = 120

Therefore, 90 is 120% of 75.

Understanding the Result

The result of 120% makes sense because 90 is larger than 75. A percentage greater than 100% indicates that the second number (90) is more than the first number (75).

Another Approach: Using Proportions

You can also solve this using proportions:

Set up a proportion: x/100 = 90/75
Cross-multiply: 75x = 9000
Solve for x: x = 9000/75 = 120

This method gives the same result: 120%.

Practical Applications

Understanding percentage calculations is crucial in many real-world situations, including:

Calculating discounts and markups: Determining the original price after a discount or the selling price after a markup.
Analyzing financial data: Tracking changes in income, expenses, or investments over time.
Interpreting statistics: Understanding data presented in percentages, like survey results or economic indicators.

Conclusion

By following the steps outlined above, you can easily determine that 90 is 120% of 75. Mastering this type of percentage calculation will equip you with a valuable skill applicable in various contexts. Remember to always carefully set up your equation or proportion to accurately solve for the unknown percentage.

what percent of 75 is 90