*(via Brett Berry/medium.com)*

Percentages. They come up all the time, in the most casual places: shopping, dining out, grabbing a latte, checking grades, banking, taxes … that makes them the most valuable everyday math skill I can teach you.

## A Little Trick

A percent represents the portion per 100. So 15% means fifteen per one-hundred. Of course most of the time we are not taking a percentage of 100, but of a different value like 10% of 250.

## The 10% Trick

To calculate 10% of a number, move the decimal point one position left.

*Here are some examples to illustrate:*

*Why does this work?*

Suppose we were calculating 10% of 250 long-hand. I would begin by rewriting 10% as 10/100 and multiplying.

Then I’d reduce 10/100 by canceling out factors of 10.

When dividing by 10 we move the decimal point one place to the left. So 10% of 250 is 25.

## Calculating Restaurant Tips

Using the trick we can calculate common tip percentages of 10%, 15% and 20% mentally. Suppose your dinner bill comes to $48.50.

*10% Tip Mentally*

To find 10%, use the 10% trick.

*15% Tip Mentally*

To calculate 15% combine 10% and 5% of $48.50. Five percent is half of ten percent, so 5% of $48.50 will be half of 10% of $48.50.

For practical purposes you can approximate the tip, so feel free to round up to $2.50. Finally combine the 10 and 5 percent approximations.

*20% Tip Mentally*

To find 20% double the 10 percent value.

## Calculating Discounts

Another everyday scenario where you might encounter percents is while shopping. For example, suppose we have a sub-total of $168.75. Let’s calculate a variety of possible discounts.

*10% off*

First take 10 percent of $168.75.

Since it is 10% off, subtract $16.88 from $168.75. An estimate will suit our purposes so round $168.75 and $16.88 to the nearest dollar and subtract.

Our estimation is very close, only 13 cents over the exact answer.

*25% off*

Now let’s try 25% off. We have two options for finding 25% mentally:

1. 25% is one-fourth of 100 percent, so we may divide our total by 4.

2. we may compose 25% by adding two 10%’s and one 5%.

__Option One:__

Since an estimate is suitable begin by rounding $168.75 to $170 and then use strategic division to divide $170 mentally.

*Likewise, $85 ÷ 2 can be split apart and divided individually by 2 to yield $42.50.*

* *

Hence the total after discount is approximately $127.50.

__Option Two:__

Using this method we’ll compose 25% from 10% and 5%. First, approximate 10%.

*30% off*

To calculate 30% add together three 10%’s. We’ve already approximated 10% of 168.75 as 17, so add three 17’s together.

Therefore 30% off is $51 off and the total after discount is about $119.

*50% off*

Fifty percent is half off. All we need to do is divide 170 by 2. Therefore the total after discount is $85.

That’s a great start! These techniques will aid you in most percentages you’ll experience day-to-day.