How to Correctly Express Percentage

  • MHB
  • Thread starter Linda1
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In summary, the percentage difference between Nic and Linda's electricity usage can be calculated by dividing the difference by the base and multiplying by 100%. When comparing Nic's usage to Linda's, we find that Linda uses 26% more electricity. However, if we were to compare Nic's usage to Linda's, we would find that Nic uses 21% less electricity.
  • #1
Linda1
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I don't know how to express this: If Nic uses 62425 kwh of electricity and Linda uses 78636, does Linda use 20.6% more? How would this difference be correctly expressed as a percentage? Thanks!
 
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  • #2
Hello and welcome to MHB, Linda!

If we let $P$ be the percentage in question, I would write:

\(\displaystyle P=\frac{78636-62425}{62425}\cdot100\%=\frac{64844}{2497}\%\approx25.9688\%\)
 
  • #3
The percentage difference is the difference divided by the "base"
Here the difference is 78636- 62425= 16211.

Since this problem said "what percent more", the base is the smaller number, 62425.
[tex]\frac{16211}{62425}= 0.259[/tex] or 26%. Linda uses 26% more than Nic.

If the problem had said "What percent less does Nic use than Linda", the base would be the larger number, so we would calculate [tex]\frac{16211}{78636}= 0.21[/tex] or 21%. Nic uses 21% less than Linda.
 

FAQ: How to Correctly Express Percentage

How do I calculate a percentage?

To calculate a percentage, divide the part by the whole and multiply by 100. For example, if you want to find the percentage of 25 out of 50, you would divide 25 by 50 (25/50) and multiply by 100 to get 50%.

How do I express a percentage as a decimal?

To express a percentage as a decimal, simply move the decimal point two places to the left. For example, 50% would be expressed as 0.50.

How do I convert a decimal to a percentage?

To convert a decimal to a percentage, move the decimal point two places to the right and add the percent symbol. For example, 0.50 would be converted to 50%.

How do I show a percentage increase or decrease?

To show a percentage increase or decrease, you would first calculate the difference between the old and new values. Then, divide that difference by the old value and multiply by 100. If the result is positive, it is a percentage increase. If the result is negative, it is a percentage decrease.

How do I properly format a percentage?

To properly format a percentage, use the percent symbol (%) after the number. You can also include a space between the number and the percent symbol for clarity. For example, 50% or 50 % would both be acceptable ways to format a percentage.

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