A number increased by 75% is the number +75% of the number, or the number plus 0.75 of the number, or 1.75 of the number, or 1.75x (with the number being x). We can do this because a percent is per 100 and we already have 1.0 of the number (1x is equal to x). Since we know that 1.75x is equal to 35, we can set up an equation.
1.75x = 35
Now, we want to get x by itself. We can do this by multiplying both sides by the reciprocal of x.
1.75 * 1/1.75x = 35/1.75
x = 20
That means that 20, increased by 75% is 35.
