1 8 of a number is 30 what is 62% of that number
What is 62% of a number if \frac{1}{8} of the number is 30?
Answer: First, we will solve for the original number using the information given. Then, we will calculate 62% of that number.
Step 1: Finding the Original Number
We are given that \frac{1}{8} of a number is 30. To find the whole number, we need to multiply 30 by 8. This is because multiplying by the reciprocal of a fraction allows us to find the whole.
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Set up the equation:
$$\frac{1}{8} \times \text{(whole number)} = 30$$
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Solve for the whole number:
To solve for the number, multiply both sides of the equation by 8:
$$\text{Whole number} = 30 \times 8$$
$$\text{Whole number} = 240$$
Thus, the whole number is 240.
Step 2: Calculating 62% of the Number
Now we need to calculate what 62% of 240 is.
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Convert percentage to a decimal:
62% as a decimal is 0.62, because percentage represents part per hundred, and 62% means 62 out of 100.
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Calculate 62% of 240:
Multiply 240 by 0.62:
$$62% \times 240 = 0.62 \times 240$$
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Solve the multiplication:
$$0.62 \times 240 = 148.8$$
Therefore, 62% of 240 is 148.8.
Summary
To determine the full number when \frac{1}{8} of it is given as 30, we multiply the fraction result by the reciprocal of 1/8, which is 8, to find the original number (240). Subsequently, calculating 62% from this total was achieved by converting the percentage to a decimal (0.62) and multiplying by the whole number, obtaining a result of 148.8.
If you have any more questions or need further clarification, feel free to ask! @anonymous4