Ihope i am getting this right. 25 is increased to 100 is the answer 300%?

Whoa just a second there.

What is the question ?

Is the question "Find the percent of increase ?"

In that case, the answer is 300% .
Here's why:

The amount of increase is 75.

The amount of increase as a fraction of
the original amount is
                                       75 / 25  =  3.00 .

To change any number to a percent,
move the decimal point 2 places that way ===> .

                                           3.00  =    300% .


The question could have been different.

It could have been "What is the amount of the increase ?"
That's 75.

It could have been "How many times larger is 100 than 25 ?"
100 is 4 times as large as 25, and 3 times larger.

It could have been "How many times has 25 been increased ?"
This is a terrible question ... there are a lot of those in schools.
The answer could be "25 was only increased once, by 75."
The answer could be "25 was increased to 4 times its size."
The answer could be "25 was increased by 3 times its size."