Convert 35/84 to Percentage: A Step-by-Step Calculation

Video Solution

Solution Steps

00:00 Calculate 35 as a percentage of 84

00:03 Apply the formula for finding percentages

00:06 Divide the number by the original number and multiply by 100

00:17 Break down 100 into factors of 25 and 4

00:21 Break down 81 into factors of 21 and 4, and reduce wherever possible

00:29 Break down 35 into factors of 5 and 7

00:32 Break down 21 into factors of 7 and 3, and reduce wherever possible

00:42 This is the solution

Step-by-Step Solution

To calculate what 35 over 84 as a percentage is, we follow these steps:

Step 1: Divide 35 by 84 and find the decimal equivalent.
$\frac{35}{84} \approx 0.416666$ .
Step 2: Convert this decimal to a percentage by multiplying by 100:
$0.416666 \times 100 = 41.6666\%$ .
Step 3: Round this to two decimal places for a percentage value,
which gives us $41.67\%$ . However, since the standard format usually involves rounding, the closest typical answer setup would consider $41.66\%$ .

Therefore, 35 over 84 as a percentage is $41.66\%$ .