Gross Pay Calculator

How the Gross Pay Calculator works:

1. Straight Time (ST):

   • Definition: The number of regular hours worked at a standard hourly rate.
   • Formula:
   $$\text{ST Pay}=\text{Hours Worked (ST)}\times \text{Hourly Rate (ST)}$$
   • Example:
     If you worked 5 hours at an hourly rate of $20: $$\text{ST Pay}=5\times 20=100\text{dollars}$$

2. Overtime (OT):

   • Definition: The hours worked over regular time, often paid at a higher rate (e.g., “time and a half”).
   • OT Rate Multiplier: Defines how much more than the regular rate you earn (e.g., 1.5 for “time and a half”).
   • Formula:
   $$\text{OT Pay}=\text{OT Hours}\times \text{Hourly Rate (ST)}\times \text{OT Rate Multiplier}$$
   • Example:
     If you worked 3 overtime hours at a standard rate of $20 and the OT multiplier is 1.5: $$\text{OT Pay}=3\times 20\times 1.5=90\text{dollars}$$

3. Double Time (DT):

   • Definition: Hours worked that are paid at twice the standard rate.
   • DT Rate Multiplier: Double time usually means 2 times the standard rate.
   • Formula:
   $$\text{DT Pay}=\text{DT Hours}\times \text{Hourly Rate (ST)}\times \text{DT Rate Multiplier}$$
   • Example:
     If you worked 2 double time hours at a standard rate of $20 and the DT multiplier is 2: $$\text{DT Pay}=2\times 20\times 2=80\text{dollars}$$

4. Gross Pay Calculation:

   • Formula:
   $$\text{Gross Pay}=\text{ST Pay}+\text{OT Pay}+\text{DT Pay}$$
   • Example Calculation:
     • ST: Worked 5 hours at $20/hr $$\text{ST Pay}=5\times 20=100\text{dollars}$$
     • OT: Worked 3 hours at $20/hr with a 1.5 multiplier $$\text{OT Pay}=3\times 20\times 1.5=90\text{dollars}$$
     • DT: Worked 2 hours at $20/hr with a 2 multiplier $$\text{DT Pay}=2\times 20\times 2=80\text{dollars}$$
     • Gross Pay: $$\text{Gross Pay}=100+90+80=270\text{dollars}$$

Examples:

Example 1:

• ST Hours: 8 hours at $15/hr.
• OT Hours: 2 hours at 1.5 multiplier.
• DT Hours: 1 hour at 2 multiplier.

Calculation:

• ST Pay: $$\text{ST Pay}=8\times 15=120\text{dollars}$$
• OT Pay: $$\text{OT Pay}=2\times 15\times 1.5=45\text{dollars}$$
• DT Pay: $$\text{DT Pay}=1\times 15\times 2=30\text{dollars}$$
• Gross Pay: $$\text{Gross Pay}=120+45+30=195\text{dollars}$$

Example 2:

• ST Hours: 40 hours at $18/hr.
• OT Hours: 5 hours at 2 multiplier.
• DT Hours: 0 hours (no double time).

Calculation:

• ST Pay: $$\text{ST Pay}=40\times 18=720\text{dollars}$$
• OT Pay: $$\text{OT Pay}=5\times 18\times 2=180\text{dollars}$$
• DT Pay: $$\text{DT Pay}=0\times 18\times 2=0\text{dollars}$$
• Gross Pay: $$\text{Gross Pay}=720+180+0=900\text{dollars}$$