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Definition of increment : 1. An amplification without strict climax,
2. Matter added; increase; produce; production; - opposed to decrement.
3. The act or process of increasing; growth in bulk, guantity, number, value, or amount; augmentation; enlargement.
4. The increase of a variable quantity or fraction from its present value to its next ascending value; the finite quantity, generally variable, by which a variable quantity is increased.

Synonyms:

gain, jump, ontogenesis, profit, ontogeny, outgrowth, rise, supplement, step-up, hike, emergence, growing, maturation

addition, augmentation, accrual, increase, attainment, acquisition, accumulation, expansion, aggregation, enlargement

stretch, engorge, swell, thicken, distend, spread, dilate, develop

add, accumulate, tally, annex, sum, attain, acquire, augment, aggregate, accrue, total

crescendo, broadening, engorgement, dilation, lengthening, fattening, thickening, spreading, burgeoning, development, stretching, widening, amplification, distension, swelling

fraction, algorithm, integral, differential calculus, dividend, reciprocal, numerator, multiplicand, root, algebra, trigonometry, arithmetic, denominator, radix, coefficient, square root, cube, logarithm, quadratics, antilogarithm, minuend, calculus, multiplier, divisor, subtrahend, formula, geometry, exponent, quotient, factor, multiplicator, cube root, modulus, power, multiple, index

inflation, magnification, inflate, boost, amplify, burgeon, extension, enlarge, expand, maximize, widen, extend, advance, magnify, fatten, broaden, reinforce, multiplication, grow, lengthen, multiply, raise, upgrade, heighten, elevation, elevate, growth

Usage examples:

• On my explaining our intention to put our efforts at their service, and any increment that might result into their pockets, their expression of gratitude was quite touching. - "The Brother of Daphne", Dornford Yates.
• Deducting two hundred and fifty thousand pounds, supposed to be on hand in various shapes, and the increment is six hundred thousand pounds for the year 1861. Of this, perhaps two hundred thousand pounds had been made at the Tennessee and other mills, leaving four hundred thousand pounds to be supplied through the blockade, or before the beginning of hostilities. - "The Rise and Fall of the Confederate Government, Vol. 1 (of 2)", Jefferson Davis.
• Thus the necessity imposed on them by nature, of having the coccoons open, is not necessary for their increment; nor has it any other object than that of exposing them to the certainty of perishing by the wounds of their natural enemy; an observation new and truly singular. - "New observations on the natural history of bees", Francis Huber.