How to find any percentage of any number quickly using a math trick?



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Example 1: Suppose you need to find 35% of 450

The usual way to do is as below

35/100 * 450 (which will be a long calculation)

So, we will avoid the above method and use a simple trick to calculate in mind.

But first, let's understand the 10% of any number.

Just learn it that 10% of any number is that number divided by 10

for example, 10% of 67 is 6.7

10% of 105 is 10.5

10% of 1243 is 124.3

So, simply we need to apply a decimal point (.) before the last digit of any number to find the 10% of that number. Easy?

Similarly, 1% of any number is that number divided by 100.

for example, 1% of 67 is 0.67

1% of 105 is 1.05

1% of 1243 is 12.43

So, simply we need to apply a decimal point (.) before the 2nd last digit of any number to find the 1% of that number. Easy?

Now let us find the 35% of 450 (as mentioned above in example 1)

Here 35% can be split as below

10% + 10% + 10% + 5% = 35%

or we can also write the above as below

(3 * 10%) + 5% = 35% (split method formula)

Now as i explained you before about 10% of any number and so

10% of 450 is 45.0 right?

Since 10% of 450 is 45 then 5% will be half of 10% which will be 45/2= 22.5 right?

Now let us insert the values of 10% and 5% in the split method formula above

(3 * 45) + 22.5 => 135 + 22.5 = 157.50 (this is your quick answer)

This math trick is very simple and the calculation can be done in the mind if the number is smaller.

Let us take another example

Example 2: Suppose you need to find 67% of 654

Here 67% can be split as below

10% + 10% + 10% + 10% + 10% + 10% + 7% = 67%

or we can also write the above as below

(6 * 10%) + 5% + 2% = 67% (split method formula)

10% of 654 is 65.4 as mentioned before, right?

5% of 654 is 65.4/2 = 32.7 as mentioned before, right?

1% of 654 is 6.54 (already explained above how to find 1% of any number).

so 2% of 654 is 6.54 * 2= 13.08 right?

Now let us insert the values of 10%, 5% and 2% in the split method formula above.

(6 * 65.4) + 32.7 + 13.08 = 438.18 (this is your quick answer).

Example 3: Suppose you need to find 127% of 340

You should also remember one more thing that 100% of any number is the number itself.

And so, accordingly we can split 127% as below

100% + 10% + 10% + 5% + 2% = 127%

The above can also be written as

100% + (2 * 10%) + 5% + 2% = 127% (split method formula)

100% of 340 is 340 itself right?

10% of 340 = 34.0 right?

5% of 340 = 34/2 = 17 right?

1% of 340 is 3.40 and so 2% is 2 * 3.40 = 6.80

Putting all these values in the split method formula above we get

340 + (2 * 34) + 17 + 6.8 => 340 + 68 + 17 + 6.8 = 431.80 (this is your final answer)

Hope you enjoyed it and find it useful!

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Written by: Rajesh Bihani ( Find me on Google+ )

Disclaimer: The suggestions in the article(wherever applicable) are for informational purposes only. They are not intended as medical or any other type of advice