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Formula Library

Find consulting math formulas, examples, and direct links into related practice.

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Showing 14 of 14 local formulas.

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Revenue And Profitability

Revenue, profit, margin, and market share formulas.

4 formulas

Revenue

Business mathMultiplication

Formula

Revenue = Price x Volume

How to use it

Revenue is the total sales value created by selling a number of units at a given price.

Example

Selling 12,000 units at $25 each creates $300,000 in revenue.

revenue

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Profit

Business mathSubtraction

Formula

Profit = Revenue - Cost

How to use it

Profit is the amount left after subtracting all relevant costs from revenue.

Example

If revenue is $500,000 and cost is $380,000, profit is $120,000.

profitrevenuecost

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Margin

Business mathPercentage ratio

Formula

Margin = Profit / Revenue

How to use it

Margin shows profit as a percentage of revenue, which makes profitability easier to compare.

Example

A $90,000 profit on $600,000 of revenue is a 15% margin.

marginprofitrevenue

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Market Share

Business mathShare ratio

Formula

Market Share = Company Sales / Total Market Sales

How to use it

Market share compares a company's sales with the total sales in the market.

Example

$45M of company sales in a $300M market equals 15% market share.

market sharerevenue

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Cost And Breakeven

Cost structure and volume needed to break even.

3 formulas

Total Cost

Business mathCost buildup

Formula

Total Cost = Fixed Cost + Variable Cost per Unit x Units

How to use it

Total cost combines costs that do not vary with volume and costs that scale with each unit sold.

Example

$200,000 fixed cost plus $8 variable cost across 25,000 units equals $400,000 total cost.

cost

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Contribution Margin

Business mathUnit economics

Formula

Contribution Margin = Price - Variable Cost per Unit

How to use it

Contribution margin is the amount each unit contributes toward fixed costs and profit.

Example

A $30 price with $18 variable cost leaves $12 of contribution margin per unit.

contribution marginmargincost

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Breakeven Volume

Business mathAlgebra setup

Formula

Breakeven Volume = Fixed Cost / Contribution Margin

How to use it

Breakeven volume is the number of units needed for contribution margin to cover fixed cost.

Example

$240,000 of fixed cost divided by $12 contribution margin requires 20,000 units to break even.

breakevencontribution margincost

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Returns And Investment

Return and payback calculations for investment decisions.

2 formulas

ROI

Business mathReturn ratio

Formula

ROI = (Gain - Investment) / Investment

How to use it

ROI compares net gain with the original investment to estimate return efficiency.

Example

A $150,000 gain on a $100,000 investment produces a 50% ROI.

roi

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Payback Period

Business mathRate and time

Formula

Payback Period = Initial Investment / Annual Cash Flow

How to use it

Payback period estimates how many years it takes for cash flow to recover an upfront investment.

Example

A $300,000 investment with $75,000 annual cash flow has a 4-year payback period.

paybackroi

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Percent And Growth

Percent change, compounding, and growth shortcuts.

3 formulas

Percentage Change

PercentagesPercent change

Formula

Percentage Change = (New - Old) / Old

How to use it

Percentage change measures the size of an increase or decrease relative to the starting value.

Example

Growing from 80 to 100 is a 25% increase because 20 divided by 80 equals 25%.

percentage change

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CAGR

Growth and compoundingCompound growth

Formula

CAGR = (Ending Value / Beginning Value)^(1 / Years) - 1

How to use it

CAGR is the steady annual growth rate that would turn the beginning value into the ending value.

Example

Doubling from $50M to $100M over 4 years is about 19% annual growth.

cagrcompound growth

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Rule of 72

Growth and compoundingGrowth shortcut

Formula

Years to Double = 72 / Growth Rate

How to use it

The Rule of 72 approximates doubling time when the growth rate is expressed as a percent.

Example

At 12% annual growth, doubling takes about 6 years because 72 divided by 12 equals 6.

rule of 72simple growth

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Averages And Operations

Mix, capacity, and operating efficiency math.

2 formulas

Weighted Average

Weighted averagesWeighted average

Formula

Weighted Average = Sum(weight x value) / Sum(weights)

How to use it

A weighted average gives each value influence in proportion to its weight.

Example

70 units at $10 and 30 units at $20 produce a weighted average price of $13.

weighted average

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Capacity Utilization

Business mathRatio

Formula

Capacity Utilization = Actual Output / Maximum Capacity

How to use it

Capacity utilization shows how much of available capacity is being used.

Example

Producing 72,000 units out of 90,000 possible units means 80% capacity utilization.

capacity utilization

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