Calculate the Exact Percentage of 270 Over 50: A Linear Approach

Question

What is the percentage of 270 over 50?

Video Solution

Solution Steps

00:00 Calculate 270 as a percentage of 50
00:05 Apply the formula for calculating percentages
00:10 Divide one number by the other and proceed to multiply by 100
00:15 Break down 270 into factors of 50 and 5.4
00:23 Reduce wherever possible
00:28 This is the solution

Step-by-Step Solution

To express 270 as a percentage of 50, let's use the formula for converting a fraction to a percentage:

  • Step 1: Calculate the fraction 27050\frac{270}{50}.
    This simplifies to 5.45.4 because dividing 270 by 50 yields 5.4.
  • Step 2: Convert the fraction to a percentage by multiplying by 100:
    Percentage=5.4×100=540%\text{Percentage} = 5.4 \times 100 = 540\%

Therefore, 270 is 540% of 50.

Thus, the correct answer is 540%540\%.

Answer

540%