Shrink/Stretch calculation

Mechelle

Pattern Design_Advance_Shrink/Stretch:

When adding 10% shrinkage to 100cm, the result is 111,11cm.
What is the reason for this?
Why not 110cm? 

Thanks a lot.

Vasyl

Mechelle сказав:

Pattern Design_Advance_Shrink/Stretch:

When adding 10% shrinkage to 100cm, the result is 111,11cm.
What is the reason for this?
Why not 110cm? 

Thanks a lot.

Now remove 10% from 110 and check do you get 100cm. Next remove 10% from 111,11cm. ))
Not confuse shrink with scale

MuhammadOwais

@Mechelle
Shrinkage in a pattern means it gets smaller after a number of operations on the fabric. To counter this issue, We add shrinkage value to the pattern in advance, means We make it bigger to a certain amount in advance so when it shrinks, the resultant pattern becomes the actual required sized. 
Now adding 10% shrinkage to a 100x100cm Box doesn't  means to add a 10% of a 100cm (which is 10cm itself) to the pattern but to get the Resultant Pattern with a measurement of 100cm which is 10% smaller than the Actual Pattern. 
So the AccuMark will make a pattern bigger with a factor of 10% of the actual pattern.
You can also calculate the value of Actual (Big) Pattern and If You love the math it'll be as follows:

Let say:
Actual Pattern =  The Big pattern after adding shrinkage
Resultant Pattern = Pattern after shrinkage / pattern in which You've added shrinkage
%age = Shrinkage %age value

So:
=>    Resultant Pattern  = Actual Pattern - (Actual Pattern x %age)
=>    Resultant Pattern = Actual Pattern - Actual Pattern x %age

Taking Actual Pattern as Common:
=>    Resultant Pattern = Actual Pattern x (1 - %age)
=>    Resultant Pattern / (1 - %age) = Actual Pattern
=>    Actual Pattern = Resultant Pattern / (1 - %age)

Adding Values:
=>    Actual Pattern = 100cm / (1 - 10%)
=>    Actual Pattern = 100cm / 90%
=>    Actual Pattern = 111.11cm

Hence the Method/Formula to calculate the Pattern measurement after adding shrinkage is just divide Your measurement by (1-%age).

This sounds so mathematical but someone might need it in the future...

Regards,
Owais...

Mechelle

 Thank you @Vasyl. It is clear.

Mechelle

Thank you so much @Owais.
Your explaination is very helpful and crystal clear. Honestly, I would not have figured that out by myself. I sincerely appreciate the advise. All the best to you. :-)

MuhammadOwais

@Mechelle Thank You for Your Appreciation...