If one eighth of a number is 30 what is 62% of that number

if one eighth of a number is 30 what is 62% of that number

If one eighth of a number is 30 what is 62% of that number

Finding the Original Number:

To solve this problem, we start by finding the entire number when we know that one eighth of it equals 30. Let’s break it down step-by-step:

  1. Equation Setup: If one eighth (or \frac{1}{8}) of a number is 30, we can express this relationship with the equation:

    \frac{1}{8} \times \text{Number} = 30
  2. Solving for the Number: To find the original number, you’ll need to solve this equation for “Number.” You can do this by multiplying both sides of the equation by 8 to isolate the number:

    \text{Number} = 30 \times 8
  3. Calculating the Original Number: Now, perform the multiplication:

    \text{Number} = 240

So, the entire number is 240.

Finding 62% of the Original Number:

Now that we know the whole number, we need to calculate what 62% of this number is.

  1. Equation for Percentage: To find 62% of 240, you set up the following calculation:

    62\% \times 240 = \frac{62}{100} \times 240
  2. Performing the Calculation:

    = \frac{62}{100} \times 240 = 0.62 \times 240
  3. Multiplying:

    0.62 \times 240 = 148.8

Therefore, 62% of the original number (240) is 148.8.

Summary:

Given that one eighth of a number is 30, we determined the whole number is 240. Therefore, 62% of this number is 148.8.

@anonymous4, feel free to ask more questions if you have any doubts!