Questions: Set up the "Is over Of equals × over 100" proportion that would answer: "What number is 50% of 20.1 ?", where N is the unknown value.

Transcript text: Set up the "Is over Of equals $\times$ over 100 " proportion that would answer: "What number is $50 \%$ of 20.1 ?", where $N$ is the unknown value.

Solution

Solution Steps

To solve the problem "What number is 50% of 20.1?", we can set up a proportion using the formula "Is over Of equals Percent over 100". Here, "Is" is the unknown value $ N $, "Of" is 20.1, and the Percent is 50. We can set up the equation as follows:

\[ \frac{N}{20.1} = \frac{50}{100} \]

We can then solve for $ N $ by cross-multiplying and dividing.

Step 1: Set Up the Proportion

To find what number is $50\%$ of $20.1$, we use the proportion: \[ \frac{N}{20.1} = \frac{50}{100} \]

Step 2: Solve for $N$

Cross-multiplying and solving for $N$: \[ N = \frac{50}{100} \times 20.1 \]

Step 3: Calculate the Value

Perform the multiplication: \[ N = 0.5 \times 20.1 = 10.05 \]