# 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+ )