Calculate Fraction to Percentage: Converting 8/80 to Percent Form

Question

Calculate 8 over 80 as a percentage:

Video Solution

Solution Steps

00:00 Calculate 8 as a percentage of 80
00:06 Apply the formula to calculate percentages
00:12 Divide the number by the second number and proceed to multiply by 100
00:19 Break down into factors and reduce wherever possible
00:49 This is the solution

Step-by-Step Solution

Let's solve the problem by expressing 88 as a percentage of 8080.

We use the formula for percentage:

Percentage=(partwhole)×100% \text{Percentage} = \left(\frac{\text{part}}{\text{whole}}\right) \times 100\%
  • Step 1: Identify the part and the whole. Here, the part is 88 and the whole is 8080.
  • Step 2: Substitute these values into the formula to find the percentage:
Percentage=(880)×100% \text{Percentage} = \left(\frac{8}{80}\right) \times 100\%
  • Step 3: Simplify the fraction 880\frac{8}{80}. The fraction simplifies to 110\frac{1}{10} because both the numerator and denominator are divisible by 88.
  • Step 4: Multiply by 100 to convert to a percentage:
(110)×100%=10% \left(\frac{1}{10}\right) \times 100\% = 10\%

This computation confirms that 88 over 8080 is indeed 10%.

Answer

10%

More Questions

Related Subjects

How to Calculate Percentage How do you calculate the percentage value? What is a percentage?