This is blowing my fucking mind like an artillery shell
this post was submitted on 02 Sep 2025
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Yeah, I personally find it a lot easier to compute 13% of 17, rather than 17% of 13.
Same with 375% of 20 rather than 20% of 375.
Damn, it still worked. Holy shit.
The few times I've seen you on Lemmy, it takes me a few seconds to process your username. Today, I had my favorite misreading yet: pronounced Ivana footerall
Thanks, now I can't unsee that, fartographer
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I guess it's easy to miss that m% just means ×m÷100
6% of 50 means 50 × 6 ÷ 100, and because multiplication and division have the same order of operations you can switch them around. so it is also equal to 6 × 50 ÷ 100, in which you can simplify 50 ÷ 100 into 1 ÷ 2, but you could always do that: 50 × 6 ÷ 100 = 1 × 6 ÷ 2.
this "shortcut" however is of extremely limited use. basically for taking a percentage of anything other than things that can very easily divide or multiply 100 like 50 in this example or maybe 10 or 500 it's nearly useless.
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x/100 * y = x * 1/100 * y = x * y/100
I never would have thought of it myself and still feel like I should have thought of it myself.
So 37 % of 38 is equivalent to (37 * 38 ) / 100 ? Which I can almost do in my head.
37 * 4 is 148 I think, so 37 * 40 is 1480. Subtract 74 we have 1406. So we have 14.06?
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This is great. I won't remember it when I will need it.
My dyscalculic ass trying to remember what 50% of 6 is
Probably 5 tbh
is tree fiddy
I'm gonna track down all my HS math teachers and punch each and every one of them in the mouth.
I’m gonna track down all my HS math teachers and punch each and every one of them in the mouth.
Understandable if you're in the U.S., where Maths teachers don't have to have any Maths qualifications. Other places, where you do have to have Maths qualifications, we teach this.
Legitimately new knowledge for me that will literally make my work easier. Wish I could give you more than 100% of 1 upvote, OP!
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That's because multiplication is commutative
taking a percentage of something essentially means multiplying it with a hundreath of the percentage
6% of 50 essentially means 50 * 0.06
or
50 * 6 * 0.01
and since
50 * 6 * 0.01 = 6 * 50 * 0.01
then of course
50 * 0.06 = 6 * 0.5
And we have the above
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6/100 * 50 = 50/100 * 6
6 * 1/100 * 50 = 50 * 1/100 * 6
6/100 * 50 = 50/100 * 6
=6x5 /10 (2 zeroes cancel out)
Yes, 47% of 47 is certainly much easier to determine when you look at it as 47% of 47! Genius!
Yes, 47% of 47 is certainly much easier to determine
And your real life example of a 47% discount on a $47 item is... where exactly?
You can also
Multiply one side, divide the other to get the base number to get the base number to 100.
6% of 50 == 3% of 100 == 3
5% of 20 == 1% of 100 == 1
7% of 50 == 3.5℅ of 100 == 3.5
~~14% of 200 == 7% of 100 == 7~~
Edit* as pointed out below, this one was incorrect.
14% of 200 == 28% of 100 == 28
You don't have to stop at percentage either.
25 * 16 = 100 * 4
If you're doing addition, you can add and subtract.
27 + 13 = 20 + 20
Most of the difficulty is in realizing that one number or the other can be brought up to a nice round number, making the equation simple to do in your head. And obviously, just getting to around number on one side doesn't always make it easy on the other side.
I always loved screwing with math problems to make them easier, which is weird, because overall, I don't really care for math.
I also do shit like borrowing a couple of numbers to make the equation easy and then pull them back out.
392 / 4 == (400 - 8) / 4 == (100-2) = 98
376 / 4 == (400-24)/4 =100-6=94
Of course it goes up a level when the remainder isn't evenly divisible. But I still find it's something I can handle in my head.
371 / 4 == (400-29)/4= 100-7¼ =100-7.25=92.75
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Teaching stats and using percentages now and again, it's not really that useful of a tool most of the time since you aren't usually working with an easy number like 50 (Or 10, 20, 25, etc.).
Usually what I'm doing is breaking it down into manageable parts (factors), so 6% is 5% + 1% which I can usually do in my head regardless of the number (or if 5% hard, work in increments of 1%, which I can multiply by 6).
It's a pretty common strategy to with with factors. Just surprised how many of my students don't know it!
commutable...
Huh. Learning a fun and cool math trick was not on the list of expected outcomes for today, but I'll take it!
Sweet, thanks Panzer of the Lake!
Most of the people explaining this still make it more complicated than it needs to be, imo.
I just think the symbol "%" algebraically means 0.01
I just think the symbol “%” algebraically means 0.01
Warm. It actually means "per 100", hence the slash to represent a vinculum and the 2 zeroes. Of course in decimal that converts to 0.01.
Surprised how many people don’t know this. I suspect it is because people forget that percent literally means per 100 or /100 and the of is standing in for multiplication. So 6% of 50 is 6/100 * 50 or 6 * 50 * 1/100
people forget that percent literally means per 100 or /100
Yes
the of is standing in for multiplication
No. The M is for Multiplication. O is for Order, as in "to the order of", as in Exponents.
There is no 'M' or 'O' in the statement "six percent of fifty" There also is no exponentiation so I have no idea what you are on about
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Danke
Yeah, now calculate 6% of 36
Edit: Replies itt make me believe that everyone on Lemmy is a chatbot
Yeah, now calculate 6% of 36
6x3x10 + 6x6, move decimal point 2 places to the left
Replies itt make me believe that everyone on Lemmy is a chatbot
I'm a Maths teacher :-)
6x3x10 + 6x6, move decimal point 2 places to the left
Wow, that's nice! I like it.
I'm a Maths teacher :-)
I just hope that you are not starting grading your students with the phrase "You're absolutely right!"
Wow, that’s nice! I like it
It's called grouping. It's part of the curriculum here. Break the arithmetic into easily calculated groups.
I just hope that you are not starting grading your students with the phrase “You’re absolutely right!”
I'm not in the U.S. no. We still require teachers to be qualified here (Masters)! 😂
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