Budget Calculation Formulas
The system automatically calculates the value for a number of fields. This article describes those calculations, organized in the following sections:
 Formula Notation
 Salary and Benefit Costs (salary, benefits, sea pay)
 Other Costs
 Worksheet and Budget Summary Totals
Rounding Note
You can adjust the number of decimal places used for rounding to get a more precise calculation when trying to match values.
Formula Notation
The formulas use the following symbols for arithmetic processes:

 plus sign (+) indicates addition
 minus sign ( ) indicates subtraction
 asterisk (*) indicates multiplication
 forward slash (/) indicates division
 parentheses indicate partial calculations, done first
Salary and Wages
Base Salary
 Monthly Base Salary
 First period = systemgenerated or entered value
 Following periods = prior period’s Adjusted Monthly Base Salary
 Adjusted Monthly Base Salary = Monthly Base Salary * (1 + Salary Inflation Rate)
 Example
 Monthly Base Salary = $5,000
 Salary Inflation Rate = 2% = 0.02 in decimal form
 Adjusted Monthly Base Salary = $5,000 * (1 + 0.02) = $5,100
Effort
 Months = number of months in the period
 Percent Effort = entered value
 Monthly Hours = Percent Effort * 173.3 (standard hours in a month)
 Person Months = Months * Percent Effort
 Example
 Months = 12
 Percent Effort = 80% = 0.80
 Monthly Hours = 0.80 * 173.3 = 138.64
 Person Months = 12 * 0.80 = 9.6 months
Total Requested Salary
 Total Requested Salary = Adjusted Monthly Base Salary * Person Months
 Example
 Adjusted Monthly Base Salary = $5,100
 Person Months = 9.6
 Total Requested Salary = $5,100 * 9.6 = $48,960
Note: if you enabled a Salary Cap, the Period Salary Total used in calculations will be the capped amount. For a given period, the capped salary limit = Cap Amount * Percent Effort.
Total Benefits on Salary
 Benefit Rate = systemgenerated or entered value
 Total Benefits on Salary = Total Requested Salary * Benefit Rate
 Example
 Benefit Rate = 24% = 0.24
 Total Requested Salary = $48,960
 Total Benefits on Salary = $48,960 * 0.24 = $11,750.40
Total Salary and Benefit for the Period
 Period Personnel Cost = Total Requested Salary + Total Benefits on Salary
 Example
 Total Requested Salary = $48,960
 Total Benefits on Salary = $11,750.40
 The personnel cost for the period = $48,960 + $11,750.40 = $60,710.40
Sea Pay
If you enable Sea Pay in worksheet settings, you will have the option of adding sea pay to personnel. The Total Sea Pay and Total Benefits on Sea Pay are added to the Total Requested Salary and Total Benefits on Salary to get the overall personnel cost for the period.
 Hours of Sea Pay = entered value
 Sea Pay Hourly Rate = Adjusted Monthly Base Salary / 173.3 (hours per standard month)
 Total Sea Pay = Hours of Sea Pay * Sea Pay Hourly Rate
 Sea Pay Benefit Rate = system value for personnel subobject code 0186, editable
 Total Benefits on Sea Pay = Sea Pay Benefit Rate * Total Sea Pay
 Example
 Hours of Sea Pay = 20
 Sea Pay Hourly Rate = $5,100 / 173.3 = $29.42
 Total Sea Pay = 20 * $29.42 = $588.57
 Sea Pay Benefit Rate = 22.2% = 0.222
 Total Benefits on Sea Pay = $588.57 * 0.222 = $130.66
Salary & Benefit Costs Total
This row is a total of all the personnel costs, with a value for each period and for All Periods.
Other Costs
Common object code calculations
The following object codes use the same calculations:
 (02) Service Contracts
 (03) Other Contractual Services
 (04) Travel
 (05) Supplies and Materials
 (06) Equipment
 (10) Capital Projects
Those calculations are:
 Quantity = entered value
 Unit Price = entered value
 Inflation Rate = General Inflation Rate or entered value
 Total = Quantity * Unit Price * (1 + Inflation Rate)
 Example
 Quantity = 50
 Unit Price = $150
 Inflation Rate = 1% = 0.01
 Total = 50 * $150 * (1 + 0.01) = $7,500 * 1.01 = $7,575
Object code (08) Student Aid – Stipends and Tuition
 Stipends, 0802
 Number of Stipends = entered value
 Stipend Amount = entered value
 Inflation Rate = General Inflation Rate or entered value
 Total = (Number of Stipends * Stipend Amount) * (1 + Inflation Rate)
 Example
 Number of Stipends = 2
 Stipend Amount = $2,500
 Inflation Rate = 2% = 0.02
 Total (2 * $2,500) * (1 + 0.02) = $5,000 * 1.02 = $5,100
 Tuition, 0805
 Academic Quarter Rate = entered value
 Number of Academic Quarters = entered value
 Academic Tuition Amount = Academic Quarter Rate * Number of Academic Quarters
 Summer Quarter Amount = entered value
 Increase Percent (Acad. & Summer) = Tuition Inflation Rate (for the worksheet), editable
 Total Tuition Amount = (Academic Tuition Amount + Summer Quarter Amount) * (1 + Increase Percent)
 Example
 Academic Quarter Rate = $6,000
 Number of Academic Quarters = 2
 Academic Tuition Amount = $6,000 * 2 = $12,000
 Summer Quarter Amount = $5,000
 Increase Percent (Acad. & Summer) = 3% = o.o3
 Total Tuition Amount = ($12,000 + $5,000) * (1 + 0.03) = $17,000 * 1.03 = $17,5010Tuition and Fees, 0805
Object Code (38) Unallocated Line Items
 Amount = entered value
 Inflation Rate = General Inflation Rate, editable
 Total = Amount * (1 + Inflation Rate)
 Example
 Amount = $25,000
 Inflation = 1% = 0.01
 Total = $25,000 * (1 + 0.01) = $25,000 * 1.01 = $25,250
Object Code (19) Applied Physics Lab – Prorated Direct Cost, 1910
If you enable APL in the worksheet settings, a 1910 line will display in the Other Costs section for APL Prorated Direct Cost. On the Budget Summary, if more than one worksheet has a Prorated Direct Cost (PDC) entry, then its section can be expanded to show each worksheet’s entry.
 Prorated Direct Costs = PDC Rate * (period costs included in the MTDC base, excluding any 19xx costs)
Note: When APL is enabled on the primary worksheet, and the budget includes subaward worksheets, the PDC value on the primary worksheet is a sum of
 the PDC amount for the primary worksheet including the first $25,000 of any 0362 entry
 the first $25,000 for any subaward worksheet
Other Costs Total
This row is a total of all the other costs, with a value for each period and for All Periods.
Worksheet and Budget Summary Totals
Total Direct Costs
 For a worksheet: Total Direct Costs = Salary & Benefit Costs Total + Other Costs Total
 For the Budget Summary: Total Direct Costs = sum of TDC for all worksheets
 Expand the section to see additional details
 Total Direct Costs less Subrecipient F&A
 Subrecipient F&A is the amount of F&A charged by the subrecipient on subaward subbudgets
 Equal to Total Direct Costs if there are no subawards
 Total Direct Costs less Subrecipient F&A
 Subrecipient F&A displays if the budget includes
 A subaward worksheet
 An 0362 entry on the primary or an internal worksheet
 Expand the section to see additional details
Facilities and Administrative
This section displays a total and can be expanded to show additional details.
On the Budget Summary, the primary worksheet or an internal UW worksheet, the description column includes:
 The worksheet name (Budget Summary only)
 The F&A Base Type which defines the object and subobject codes included in the calculation
 The Location which is a factor in determining the F&A Rate
An F&A entry has four rows with values for each period and All Periods.
 Total Direct Costs = the same value as the Total Direct Costs row
 Costs Subject to F&A = the total direct costs for the object/subobject codes included in the F&A Base Type
 F&A Rate = the value for each period from the worksheet settings for F&A
 F&A Costs = the Costs Subject to F&A * F&A Rate
APL Fixed Fee
This entry displays if you have enabled Fixed Fee in the worksheet settings. A value displays for each period and All Periods. For a worksheet it’s a single row entry, for the Budget Summary there is a row for each worksheet with the worksheet name in the Description column.
 APL Fixed Fee = Fixed Fee Rate * (F&A costs + Total Direct Costs)