Convert 35/74 to a Percentage: Step-by-Step Solution

Question

Calculate 35 over 74 as a percentage:

00:00 Calculate 35 as a percentage of 74

00:03 Apply the formula for finding percentages

00:07 Divide the number by the original number and proceed to multiply by 100

00:12 Break down 100 into factors of 50 and 2

00:18 Break down 74 into factors of 37 and 2, and simplify wherever possible

00:24 This is the solution

To solve this problem, the goal is to express the fraction $\frac{35}{74}$ as a percentage.

We follow these steps:

$\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100\% = \left(\frac{35}{74}\right) \times 100\%$

$\frac{35}{74} \approx 0.47297$

Now multiply by 100 to convert this decimal to a percentage: $0.47297 \times 100 \approx 47.297$

Rounding to one decimal place gives us $47.3\%$ .

47.3%