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If 5 is 
d% of 8 , what is the value of 
d ? (Ignore the 
% symbol when entering your answer. For example, if the answer is 
12.4%, enter 12.4 .)

If 55 is d% d \% of 88 , what is the value of d d ? (Ignore the % \% symbol when entering your answer. For example, if the answer is 12.4% 12.4 \% , enter 1212.44 .)

Full solution

Q. If 55 is d% d \% of 88 , what is the value of d d ? (Ignore the % \% symbol when entering your answer. For example, if the answer is 12.4% 12.4 \% , enter 1212.44 .)
  1. Understand the problem: Understand the problem.\newlineWe need to find the value of dd such that 55 is d%d\% of 88. This means we need to find a number dd such that when we take dd percent of 88, we get 55.
  2. Set up the equation: Set up the equation.\newlined%d\% of 88 is equal to 55. In mathematical terms, this can be written as (d/100)×8=5(d/100) \times 8 = 5.
  3. Solve for d: Solve for d.\newlineTo find d, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 88.\newlined100×8=5\frac{d}{100} \times 8 = 5\newlined100=58\frac{d}{100} = \frac{5}{8}
  4. Calculate the value of d: Calculate the value of d.\newlineNow we multiply both sides of the equation by 100100 to get dd by itself.\newlined=(58)×100d = (\frac{5}{8}) \times 100\newlined=0.625×100d = 0.625 \times 100\newlined=62.5d = 62.5