# Thread: Percent Increase of Original Number

1. ## Percent Increase of Original Number

Increasing the original price of an article by 15% and then increasing the new price by 15% is equivalent to increasing the original price by what percent?

What? I need a set up here.

2. ## Re: Percent Increase of Original Number

Increasing a number by 15% is equivalent to multiplying that number by 1.15. So, what would the multiplying factor be if the number is increased that way twice?

3. ## Re: Percent Increase of Original Number

Originally Posted by MarkFL
Increasing a number by 15% is equivalent to multiplying that number by 1.15. So, what would the multiplying factor be if the number is increased that way twice?
Where did 1.15 come from?
Are you saying to do the following as shown below?

(0.15)(1.15)(2)

4. ## Re: Percent Increase of Original Number

Originally Posted by harpazo
Where did 1.15 come from?
Are you saying to do the following as shown below?

(0.15)(1.15)(2)
There are basically two ways to increase a number by a given percentage (15% in this case).

The long way:

If X is the original number then you could calculate 15% of X and add it on to X, ie X + 0.15 X (15% = 15/100 = 0.15)

The short way:

X + 0.15 X = 1X + 0.15 X = (1+0.15) X = 1.15 X

That's where the 1.15 comes into it.

So to increase X by 15%, simply multiply by 1.15.

To increase X by 15% and then increase the new value by 15% again, you'd have 1.15 * (1.15 X) = (1.15*1.15) *X.

What is the "multiplier" in this case, and what percentage increase does this represent?

5. ## Re: Percent Increase of Original Number

Originally Posted by Debsta
There are basically two ways to increase a number by a given percentage (15% in this case).

The long way:

If X is the original number then you could calculate 15% of X and add it on to X, ie X + 0.15 X (15% = 15/100 = 0.15)

The short way:

X + 0.15 X = 1X + 0.15 X = (1+0.15) X = 1.15 X

That's where the 1.15 comes into it.

So to increase X by 15%, simply multiply by 1.15.

To increase X by 15% and then increase the new value by 15% again, you'd have 1.15 * (1.15 X) = (1.15*1.15) *X.

What is the "multiplier" in this case, and what percentage increase does this represent?
(1.15)(1.15) = 1.3225

So, 1.3225 as a percent is 32.25 percent.

6. ## Re: Percent Increase of Original Number

Yes. % = (1.3225 - 1) * 100 = 32.25

7. ## Re: Percent Increase of Original Number

Originally Posted by harpazo
(1.15)(1.15) = 1.3225

So, 1.3225 as a percent is 32.25 percent.
That's not quite the right way to say it.

1.3225 as a percent is actually 132.25% which represents an increase of 32.25%

Thanks.