When a quantity grows (gets bigger), then we can compute its PERCENT INCREASE:
[beautiful math coming... please be patient] PERCENT INCREASE=(new amount−original amount)original amountPERCENT INCREASE=(new amount−original amount)original amount
Some people write this formula with 100%100%
at the end,
to emphasize that since it is percent increase, it should be reported as a percent.
So, here's an alternate way to give the formula:
PERCENT INCREASE=(new amount−original amount)original amount⋅100%PERCENT INCREASE=(new amount−original amount)original amount⋅100%
Recall that 100%=100⋅1100=1100%=100⋅1100=1
.
So, 100%100%
is just the number 11
!
Multiplying by 11
doesn't change anything except the name of the number!
Hope this helps