Tradefox

Tradefox – Build Skills

Learn Construction

‹ All carpentry calculators

Site maths

Packs, units & waste

T=⌈N(1+w100)⌉n=⌈Ts⌉
where
T
target units
N
net units
w
waste (%)
n
whole packs
s
units per pack
Explain this equation

Turns a net quantity into whole supplier packs after adding a waste allowance. Use it for anything sold in fixed pack sizes.

N is the net number of units you need. w is the waste allowance as a percentage. T is the target quantity once waste is added. s is the number of units per pack, and n is the number of packs to buy. The calculator also reports units supplied and the surplus.

Multiplying by (1 + w/100) adds the waste percentage. The ceiling brackets ⌈ ⌉ mean round up to the next whole number, first to whole units and then to whole packs, because you cannot buy part of a pack.

1000 units plus 5% is 1050. With 500 per pack that is 3 packs, 1500 units, leaving 450 spare.

Watch out: waste is added before rounding to packs. Rounding up already gives some spare, so don't add a second allowance by mistake.

Convert a net quantity to whole supplier packs.

%

Enter your values to see the result.

Good to know

Rounding to packs happens after waste allowance. Pack size is supplier-specific.

Sources

  • Geometry / arithmetic

This is a calculation aid, not a structural design or compliance certificate. Every default is an example, not a specification for your project.