Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get? 

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Calculate the winning candidate’s portion of the total votes in a three-candidate election, with vote counts of 1136, 7636, and 11628, to determine the percentage.

Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

To find out what percentage of the total votes the winning candidate received, you need to calculate the ratio of the winning candidate’s votes to the total votes and then express it as a percentage.

Total votes = 1136 (first candidate) + 7636 (second candidate) + 11628 (winning candidate) = 20400

Now, calculate the percentage of votes received by the winning candidate:

Percentage = (Votes of winning candidate / Total votes) * 100

= (11628 / 20400) * 100 ≈ 57.05%

So, the winning candidate received approximately 57.05% of the total votes.

How to Find the Percentages?

Calculating a Percentage of a Given Number:

1. Identify the part (the number you’re interested in) and the whole (the total amount).
2. Divide the part by the whole.
3. Multiply the result by 100 to express it as a percentage.

Formula:

Percentage = (Part / Whole) * 100%

Example:

What is 25% of 80?

1. Part = 25
2. Whole = 80
3. Percentage = (25 / 80) * 100% = 31.25%

Finding What Percentage One Number Is of Another:

1. Divide the smaller number by the larger number.
2. Multiply the result by 100 to express it as a percentage.

Formula:

Percentage = (Smaller number / Larger number) * 100%

Example:

What percentage is 12 of 60?

1. Smaller number = 12
2. Larger number = 60
3. Percentage = (12 / 60) * 100% = 20%

Calculating Percentage Increase or Decrease:

1. Find the absolute difference between the original and new values.
2. Divide the difference by the original value.
3. Multiply the result by 100 to express it as a percentage.

Formula:

Percentage change = (Difference / Original value) * 100%

Example:

If a product’s price increases from $100 to $120, what is the percentage increase?

1. Difference = $120 – $100 = $20
2. Original value = $100
3. Percentage change = ($20 / $100) * 100% = 20% increase

Tips:

• For quick calculations, you can convert percentages to decimals by dividing by 100 (e.g., 25% = 0.25).
• For proportions, remember that 100% is equivalent to 1.
• Use a calculator if necessary.

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Categories: Math