A percentage is a number or ratio expressed as a fraction of $100$. It is often denoted using the percent sign, "$%$", or the abbreviation "$\mathrm{pct}$." -Wikipedia. Percentages are used when describing portions or proportional changes.
Questions tagged [percentages]
1440 questions
2
votes
1 answer
Find % difference between a positive and a negative number
I am trying to work out the percentage difference between two numbers (one of which is negative), NOT PERCENTAGE CHANGE. I have done quite a bit of reading, but there doesn't appear to be a definitive answer. Where both numbers are positive, I have…
BossHard
- 23
2
votes
3 answers
Percentage value higher than 100%
I have two values A= 3.8620E+00 B = 1.4396E+00
According to this post, to calculate how much A is higher than B in percentage we do this:
((A-B)/B)*100 = ((3.8620E+00 - 1.4396E+00)/1.4396E+00)*100 = 168.2690%
Does this mean the value A is…
SHdotCom
- 33
2
votes
2 answers
Why can the Potato Paradox be quantified as $0.99⋅100−0.98(100−w)=w$?
I understand the two Simple Explanations, but not Algebraic Explanation Method 2. I substitute $x$ in Wikipedia with $w$, as $x$ is already used for another method.
The weight of water in the fresh potatoes is $0.99 ⋅ 100.$
If $w$ is the weight of…
user53259
2
votes
3 answers
Why can the Potato Paradox be quantified as $1 + \dfrac{98}{100}{x} = x$?
I understand the two Simple Explanations, but not the Algebraic Explanation Method 1.
After the evaporating of the water, the remaining total quantity, $x$ , contains 1 lb pure potatoes and $(98/100)x$ water. The equation becomes:
$1 +…
user53259
2
votes
2 answers
How much of the total is percentage after a percentage?
Imagine we have a pie and let $p,q$ be ratios between 0 and 1 (non-inclusive). If I first take $p$ out of the pie, and then $q$ out of the remainder, how much is that of the whole pie?
I can easily visualize that if $p=0.5$ so I take half of the…
advanced_learner
- 45
- 3
2
votes
2 answers
Intuitive formulae for percentage increase and percentage decrease
The traditional formula for calculating a percentage change is as follows:
Going from 45 to 430:
$$ \frac{430 - 45}{45} \times 100 = 856\% $$
Going from 430 to 45:
$$ \frac{45- 430}{430} \times 100 = -90\% $$
The values are correct, but they're…
Sulaiman
- 41
2
votes
2 answers
Profitability calculation
The question is as follows:
Question is that how many % profit in euros decreases.
Selling price of 70€ includes 40% profit. Price was decreased by 10%.
How many % does the profit decrease?
My math is
x*1.4=70
x=50
70*.9=63
63-50=13
13/20=.65…
BaronTruth
- 21
2
votes
1 answer
How to get part of total based on 2 percentages
sorry I don't know the name for this problem, nor if it's even solvable.
I'm trying to calculate the new delivery cost based on previous data.
Say we have 2 products with respective delivery cost per item:
Apple --> 7 $ (7 -> current value)
Melon…
user7552
- 131
2
votes
1 answer
How to determine Percent of a range?
I have a range and a target. I want to determine that target is how percent of range.
for exam:
Minimum = -54
Maximum = 96
Target = -19.5
Result = 23%
The result (-19.5) is 23% of the range (-54 .. 96).
How can I calculate it?
Vahid
- 177
2
votes
1 answer
2
votes
2 answers
Is 35%=0.35 not as a percentage of a number but just on its own?
I was having a disagreement with a number of people commenting on a Daily Mail story and I got a few red arrows indicating disapproval to my comment that 35% is not a number but a proportion and that it is not 0.35 unless we are talking about 35% of…
freethinker36
- 232
2
votes
2 answers
How to take the average for percent error?
I have roughly 39 data points that are values for % error. I have been researching and found that it is not correct to simply take the average of the % errors. Is this correct? If so, what is the correct way to take the average for % error values?…
m.car
- 31
2
votes
4 answers
Middle school problem - Percentage of students passing an exam
This is a middle school problem that my nephew got, the teacher asked to solve it without using proportions:
The $\frac23$ of boys and the $\frac34$ of girls have passed an exam. Knowing that the
number of boys enrolled in the exam is three times…
Hyperion
- 123
- 2
2
votes
0 answers
Shortcut for percentage increase and decrease involving odd numbers
Is there a shortcut to find $39\%$ of $234$? One way is to find $\frac{39}{100}\times234$. This involves multiplying decimal numbers. Second way is find $10\%$ which is $23.4$, and then $40\%$ which is $93.6$ and subtract $1\%$ which is $2.34$.…
Shop User
- 21
2
votes
2 answers
How do I find what $100\%$ is, if $15\%$ is $250,000$?
I am doing a budget planning and got problem with this question:
How do I find what $100\%$ is, if $15\%$ is $250,000$?
Is it
$$\frac{250,000}{15} \times 100?$$
TheFermat
- 365