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Problem of percentages [closed]

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2

$begingroup$

Can someone explain why: 100% of 10 = 10% of 100

or

78% of 5 = 5% of 78

Open to any explanations of this

percentages

share|cite|improve this question

asked Mar 20 at 0:03

nateluknateluk

132

$endgroup$

closed as off-topic by Shailesh, YiFan, Song, Alex Provost, Leucippus Mar 20 at 2:29

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shailesh, YiFan, Song, Alex Provost, Leucippus

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  % is multiplication, and multiplication is commutative.
  $endgroup$
  – Gerry Myerson
  Mar 20 at 0:19
  

  
  
  
  

add a comment | 

2

$begingroup$

Can someone explain why: 100% of 10 = 10% of 100

or

78% of 5 = 5% of 78

Open to any explanations of this

percentages

share|cite|improve this question

asked Mar 20 at 0:03

nateluknateluk

132

$endgroup$

closed as off-topic by Shailesh, YiFan, Song, Alex Provost, Leucippus Mar 20 at 2:29

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shailesh, YiFan, Song, Alex Provost, Leucippus

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  % is multiplication, and multiplication is commutative.
  $endgroup$
  – Gerry Myerson
  Mar 20 at 0:19
  

  
  
  
  

add a comment | 

$begingroup$

Can someone explain why: 100% of 10 = 10% of 100

or

78% of 5 = 5% of 78

Open to any explanations of this

percentages

share|cite|improve this question

asked Mar 20 at 0:03

nateluknateluk

132

$endgroup$

share|cite|improve this question

asked Mar 20 at 0:03

nateluknateluk

132

share|cite|improve this question

asked Mar 20 at 0:03

nateluknateluk

132

asked Mar 20 at 0:03

nateluknateluk

132

asked Mar 20 at 0:03

nateluknateluk

132

1 Answer
1

active

oldest

votes

5

$begingroup$

Let's first ask what it means to take $x%$ of $y$. We have
$$
x % text{ of } y = frac{x}{100} times y.
$$
Note that this makes sense intuitively because $100%$ of $y$ should just equal $y$.
But, then
begin{align*}
x % text{ of } y = frac{x}{100} times y = frac{y}{100} times x = y% text{ of } x.
end{align*}

share|cite|improve this answer

edited Mar 20 at 0:56

answered Mar 20 at 0:06

rolandcyprolandcyp

2,289422

$endgroup$

add a comment | 

5

$begingroup$

Let's first ask what it means to take $x%$ of $y$. We have
$$
x % text{ of } y = frac{x}{100} times y.
$$
Note that this makes sense intuitively because $100%$ of $y$ should just equal $y$.
But, then
begin{align*}
x % text{ of } y = frac{x}{100} times y = frac{y}{100} times x = y% text{ of } x.
end{align*}

share|cite|improve this answer

edited Mar 20 at 0:56

answered Mar 20 at 0:06

rolandcyprolandcyp

2,289422

$endgroup$

add a comment | 

5

$begingroup$

Let's first ask what it means to take $x%$ of $y$. We have
$$
x % text{ of } y = frac{x}{100} times y.
$$
Note that this makes sense intuitively because $100%$ of $y$ should just equal $y$.
But, then
begin{align*}
x % text{ of } y = frac{x}{100} times y = frac{y}{100} times x = y% text{ of } x.
end{align*}

share|cite|improve this answer

edited Mar 20 at 0:56

answered Mar 20 at 0:06

rolandcyprolandcyp

2,289422

$endgroup$

add a comment | 

$begingroup$

Let's first ask what it means to take $x%$ of $y$. We have
$$
x % text{ of } y = frac{x}{100} times y.
$$
Note that this makes sense intuitively because $100%$ of $y$ should just equal $y$.
But, then
begin{align*}
x % text{ of } y = frac{x}{100} times y = frac{y}{100} times x = y% text{ of } x.
end{align*}

share|cite|improve this answer

edited Mar 20 at 0:56

answered Mar 20 at 0:06

rolandcyprolandcyp

2,289422

$endgroup$

share|cite|improve this answer

edited Mar 20 at 0:56

answered Mar 20 at 0:06

rolandcyprolandcyp

2,289422

answered Mar 20 at 0:06

rolandcyprolandcyp

2,289422

answered Mar 20 at 0:06

rolandcyprolandcyp

2,289422