Because of Earth's rotation, some of the gravitational force that Earth exerts on you must go into keeping you in a circular motion around the planet, and the rest goes into making it difficult to move vertically. Many scales used for weighing do not measure your mass directly, but instead measure the upward force exerted by the ground on your feet. In this sense, they measure your apparent weight.
By what percentage would your apparent weight at the equator change if the Earth stopped spinning? The small variation in g at different points on Earth's surface does not matter too much for this answer. Earth's angular velocity is w = 7.2921150 x 10⁻⁵ rad/s and the equatorial radius is about 6378 km.