Percentage problems formulated as "X is what percent % out of Y?"

How to solve percentage problems formulated as: "X is what percent % out of Y?"


These problems, structured as "X is what percent % out of Y?", offer a perspective on finding the percentage that a specific value represents within a given context. By asking how much X is as a percentage of Y, these problems encourage learners to understand proportions and percentages in relation to a whole.


Practice solving percent Problems formulated as "X is what percent % out of Y?" along with their solutions and solving steps:


Problem 1: 15 is what percent % out of 75?

Solution: Step 1: Apply Calculation Formula: Percentage = (X / Y) * 100 

Step 2: Substitute values: Percentage = (15 / 75) * 100 

Step 3: Calculate: Percentage = 20 

Step 4: Result: 15 is 20% out of 75


Problem 2: 30 is what percent % out of 50?

Solution: Step 1: Apply Calculation Formula: Percentage = (X / Y) * 100 Step 2: Substitute values: Percentage = (30 / 50) * 100 Step 3: Calculate: Percentage = 60 Step 4: Result: 30 is 60% out of 50


Problem 3: 45 is what percent % out of 90?

Solution: Step 1: Apply Calculation Formula: Percentage = (X / Y) * 100 Step 2: Substitute values: Percentage = (45 / 90) * 100 Step 3: Calculate: Percentage = 50 Step 4: Result: 45 is 50% out of 90


Problem 4: 7 is what percent % out of 21?

Solution: Step 1: Apply Calculation Formula: Percentage = (X / Y) * 100 Step 2: Substitute values: Percentage = (7 / 21) * 100 Step 3: Calculate: Percentage = 33.333... Step 4: Result: 7 is approximately 33.33% out of 21


Problem 5: 12 is what percent % out of 48?

Solution: Step 1: Apply Calculation Formula: Percentage = (X / Y) * 100 Step 2: Substitute values: Percentage = (12 / 48) * 100 Step 3: Calculate: Percentage = 25 Step 4: Result: 12 is 25% out of 48


Problem 6: 90 is what percent % out of 180?

Solution: Step 1: Apply Calculation Formula: Percentage = (X / Y) * 100 Step 2: Substitute values: Percentage = (90 / 180) * 100 Step 3: Calculate: Percentage = 50 Step 4: Result: 90 is 50% out of 180


Problem 7: 28 is what percent % out of 140?

Solution: Step 1: Apply Calculation Formula: Percentage = (X / Y) * 100 Step 2: Substitute values: Percentage = (28 / 140) * 100 Step 3: Calculate: Percentage = 20 Step 4: Result: 28 is 20% out of 140



Solving these problems fosters a practical understanding of percentages by translating abstract mathematical concepts into relatable scenarios. Learners can apply these skills to analyze data, assess proportions, and make informed decisions involving percentages in various real-life situations. 

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