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:
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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 -
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 -
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.
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Equation for Percentage: To find 62% of 240, you set up the following calculation:
62\% \times 240 = \frac{62}{100} \times 240 -
Performing the Calculation:
= \frac{62}{100} \times 240 = 0.62 \times 240 -
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!