what percent of 825 is 627

less than a minute read 27-12-2024

What Percent of 825 is 627? A Step-by-Step Guide

Finding what percent one number is of another is a common percentage problem. Let's figure out what percentage 627 represents of 825. This article will walk you through the solution step-by-step, explaining the process so you can solve similar problems.

Understanding the Problem

The question "What percent of 825 is 627?" can be translated into an equation:

x% * 825 = 627

Where 'x' represents the unknown percentage we need to find.

Solving for x

Here's how to solve the equation:

Rewrite the equation: We can rewrite the equation as: x/100 * 825 = 627
Isolate x: To isolate 'x', we'll first multiply both sides of the equation by 100:

x * 825 = 627 * 100

This simplifies to:

825x = 62700
Solve for x: Now, divide both sides of the equation by 825 to solve for x:

x = 62700 / 825
Calculate the Percentage: Performing the division gives us:

x ≈ 76

Therefore, 627 is approximately 76% of 825.

Alternative Method: Using a Proportion

You can also solve this using a proportion:

Set up a proportion: We can set up a proportion: 627/825 = x/100
Cross-multiply: Cross-multiplying gives us: 825x = 62700
Solve for x: Dividing both sides by 825 gives us: x ≈ 76

Again, we find that 627 is approximately 76% of 825.

Checking Your Work

To verify our answer, we can multiply 825 by 0.76 (or 76/100):

825 * 0.76 ≈ 627

This confirms our calculation.

Conclusion

Therefore, 627 is approximately 76% of 825. Understanding the process of setting up and solving the equation, or using proportions, allows you to tackle similar percentage problems with confidence. Remember to always check your answer to ensure accuracy.

what percent of 825 is 627