About

Approximation plays a central role in financial planning, inventory management, and statistical reporting. While precise figures are necessary for accounting, they often obscure the bigger picture during initial assessments. Rounding to the nearest hundred simplifies complex datasets, allowing analysts to visualize magnitude without getting lost in single-digit noise.

This utility processes integers and decimals, stripping non-numeric formatting to isolate the raw value. It then applies a rounding algorithm to align the number with the nearest multiple of one hundred. Beyond standard rounding, constraints often require unidirectional adjustment. For instance, budget allocations may require a Ceiling (always round up) to ensure sufficient funds, while revenue projections might use a Floor (always round down) to maintain conservative estimates.

Formulas

The core logic relies on shifting the decimal point or scaling the integer before applying the rounding function. For the nearest hundred, the input x is divided by 100, rounded, and then multiplied by 100.

Standard:

R = roundx100 × 100

Floor (Down):

R_down = floorx100 × 100

Ceiling (Up):

R_up = ceilx100 × 100

Reference Data

Input Value	Standard Rounding	Floor (Round Down)	Ceiling (Round Up)
149	100	100	200
150	200	100	200
1,245.50	1,200	1,200	1,300
9,999	10,000	9,900	10,000
42	0	0	100
-150	-100	-200	-100
1,000,001	1,000,000	1,000,000	1,000,100
98.99	100	0	100

Frequently Asked Questions

In standard mathematical rounding (half-up), any value exactly halfway between two intervals is rounded to the larger absolute value. Since 150 is the midpoint between 100 and 200, the algorithm selects 200.

The parser strips all non-numeric characters (except the decimal point and negative sign) before calculation. This ensures that inputs like "$1,234.56" are treated strictly as the number 1234.56.

Standard rounding will result in 0. The Floor method will also yield 0, while the Ceiling method will force the result to 100.

Yes. Note that "rounding up" (Ceiling) for negative numbers moves towards zero (e.g., -120 becomes -100), while "rounding down" (Floor) moves away from zero (e.g., -120 becomes -200).