Solved on Mar 18, 2024

Find the percentage of 112,738 that is equal to 82,54282,542.

STEP 1

Assumptions
1. We are given a total amount of 112,738.<br/>2.Wearegivenapartofthistotalamountwhichis112,738.<br />2. We are given a part of this total amount which is 82,542.
3. We want to find what percentage the part (82,542)isofthetotalamount(82,542) is of the total amount (112,738).
4. The answer should be rounded to the nearest tenth if necessary.

STEP 2

To find the percentage that one number is of another, we divide the part by the whole and then multiply by 100.
Percentage=(PartWhole)×100Percentage = \left(\frac{Part}{Whole}\right) \times 100

STEP 3

Now, plug in the given values for the part and the whole to calculate the percentage.
Percentage=($82,542$112,738)×100Percentage = \left(\frac{\$82,542}{\$112,738}\right) \times 100

STEP 4

Perform the division to find the decimal equivalent of the percentage.
Decimal=$82,542$112,738Decimal = \frac{\$82,542}{\$112,738}

STEP 5

Calculate the decimal equivalent.
Decimal=82,542112,738Decimal = \frac{82,542}{112,738}

STEP 6

Perform the calculation.
Decimal0.7320Decimal \approx 0.7320

STEP 7

Now, convert the decimal to a percentage by multiplying by 100.
Percentage=Decimal×100Percentage = Decimal \times 100

STEP 8

Plug in the decimal value to calculate the percentage.
Percentage=0.7320×100Percentage = 0.7320 \times 100

STEP 9

Calculate the percentage.
Percentage73.20%Percentage \approx 73.20\%

STEP 10

Since we are asked to round to the nearest tenth if necessary, we round 73.20% to 73.2%.
82,542isapproximately73.2%82,542 is approximately 73.2\% of $112,738.

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