Math  /  Algebra

QuestionFill in the missing number. 115%115 \% of \square =69,000=69,000
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Studdy Solution

STEP 1

1. We need to find the unknown number that, when 115% of it is calculated, equals 69,000.
2. The percentage can be converted to a decimal for easier calculation.

STEP 2

1. Convert the percentage to a decimal.
2. Set up the equation to solve for the missing number.
3. Solve the equation for the missing number.

STEP 3

Convert 115% to a decimal by dividing by 100:
115%=115100=1.15 115\% = \frac{115}{100} = 1.15

STEP 4

Set up the equation using the decimal form of the percentage. Let the missing number be represented by x x :
1.15×x=69,000 1.15 \times x = 69,000

STEP 5

Solve for x x by dividing both sides of the equation by 1.15:
x=69,0001.15 x = \frac{69,000}{1.15}
Calculate the division:
x=60,000 x = 60,000
The missing number is:
60,000 \boxed{60,000}

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