% Problems type "What percent % out of Y is X?" - Examples with Solving steps

Percentage problems, formulated as "What percent % out of Y is X?", provide a different perspective on calculating percentages. By asking what percentage X represents in relation to Y, these problems encourage learners to determine the proportional value of X within the context of the whole.

How to solve % problems stated in form: "What percent % out of Y is X?"

The solving steps guide through the process of finding the percentage. Starting with the percentage formula, the steps help substitute values and calculate the percentage. The final result is the percentage of X with respect to Y, providing a clear understanding of the proportional relationship.

These problems are beneficial for learners seeking a comprehensive understanding of percentages and their practical applications. 

Practice solving the following problems in the format "What percent % out of Y is X?" along with their solving steps and actual results:

Problem 1: What percent % out of 100 is 25?

Solution: 

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

Step 2: Substitute values: Percentage = (25 / 100) * 100 

Step 3: Calculate: Percentage = 25% 

Step 4: Result: 25 out of 100 is 25%

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

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 out of 50 is 60%

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

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 out of 90 is 50%

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

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 out of 21 is approximately 33.33%

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

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 out of 48 is 25%

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

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 out of 180 is 50%

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

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 out of 140 is 20%

Solving these problems contributes to a holistic grasp of percentages by emphasizing the relative significance of a value within a larger context. The ability to calculate what percentage a specific value represents is valuable in various scenarios, from analyzing data to interpreting proportions.