Uptime and Downtime worksheet

1. Uptime (availability): 95.6944%

1. Convert the downtime to seconds, so it can be compared with the length of the period

   $62\text{\hspace{0.17em}min}\times 60$$=\mathrm{3,720}\text{\hspace{0.17em}s}$

2. Find the uptime: the share of the day that was not downtime, as a percent

   $1-\frac{\mathrm{3,720}\text{\hspace{0.17em}s}}{\mathrm{86,400}\text{\hspace{0.17em}s}}\times 100$$=\mathrm{95.694444\%}$

3. Multiply that share by the seconds in an average month (30.4375 days = 2,629,800 s) to get the monthly allowance

   $0.0430555556\times \mathrm{2,629,800}\text{\hspace{0.17em}s}$$=\mathrm{113,227.5}\text{\hspace{0.17em}s}$$=\text{1 d 7 h 27 min 8 s}$

4. Multiply the same share by the seconds in a 365.25-day year to get the yearly allowance

   $0.0430555556\times \mathrm{31,557,600}\text{\hspace{0.17em}s}$$=\mathrm{1,358,730}\text{\hspace{0.17em}s}$$=\text{15 d 17 h 25 min 30 s}$

2. Uptime (availability): 99.962%

1. Convert the downtime to seconds, so it can be compared with the length of the period

   $50\text{\hspace{0.17em}min}\times 60$$=\mathrm{3,000}\text{\hspace{0.17em}s}$

2. Find the uptime: the share of the quarter that was not downtime, as a percent

   $1-\frac{\mathrm{3,000}\text{\hspace{0.17em}s}}{\mathrm{7,889,400}\text{\hspace{0.17em}s}}\times 100$$=\mathrm{99.961974\%}$

3. Multiply that share by the seconds in an average month (30.4375 days = 2,629,800 s) to get the monthly allowance

   $0.0003802571\times \mathrm{2,629,800}\text{\hspace{0.17em}s}$$=\mathrm{1,000}\text{\hspace{0.17em}s}$$=\text{16 min 40 s}$

4. Multiply the same share by the seconds in a 365.25-day year to get the yearly allowance

   $0.0003802571\times \mathrm{31,557,600}\text{\hspace{0.17em}s}$$=\mathrm{12,000}\text{\hspace{0.17em}s}$$=\text{3 h 20 min}$

3. Allowed downtime per month: 6 d 20 h 21 min 45 s

1. Find the share of time the service may be down: whatever the uptime percent leaves over

   $1-\frac{77.5}{100}$$=0.225$

2. Multiply that share by the seconds in an average month (30.4375 days = 2,629,800 s) to get the monthly allowance

   $0.225\times \mathrm{2,629,800}\text{\hspace{0.17em}s}$$=\mathrm{591,705}\text{\hspace{0.17em}s}$$=\text{6 d 20 h 21 min 45 s}$

3. Multiply the same share by the seconds in a 365.25-day year to get the yearly allowance

   $0.225\times \mathrm{31,557,600}\text{\hspace{0.17em}s}$$=\mathrm{7,100,460}\text{\hspace{0.17em}s}$$=\text{82 d 4 h 21 min}$

4. Allowed downtime per month: 18 h 15 min 45 s

1. Find the share of time the service may be down: whatever the uptime percent leaves over

   $1-\frac{97.5}{100}$$=0.025$

2. Multiply that share by the seconds in an average month (30.4375 days = 2,629,800 s) to get the monthly allowance

   $0.025\times \mathrm{2,629,800}\text{\hspace{0.17em}s}$$=\mathrm{65,745}\text{\hspace{0.17em}s}$$=\text{18 h 15 min 45 s}$

3. Multiply the same share by the seconds in a 365.25-day year to get the yearly allowance

   $0.025\times \mathrm{31,557,600}\text{\hspace{0.17em}s}$$=\mathrm{788,940}\text{\hspace{0.17em}s}$$=\text{9 d 3 h 9 min}$

5. Allowed downtime per month: 0 s

1. Find the share of time the service may be down: whatever the uptime percent leaves over

   $1-\frac{100}{100}$$=0$

2. Multiply that share by the seconds in an average month (30.4375 days = 2,629,800 s) to get the monthly allowance

   $0\times \mathrm{2,629,800}\text{\hspace{0.17em}s}$$=0\text{\hspace{0.17em}s}$$=\text{0 s}$

3. Multiply the same share by the seconds in a 365.25-day year to get the yearly allowance

   $0\times \mathrm{31,557,600}\text{\hspace{0.17em}s}$$=0\text{\hspace{0.17em}s}$$=\text{0 s}$

6. Allowed downtime per month: 3 d 1 h 3 min

1. Find the share of time the service may be down: whatever the uptime percent leaves over

   $1-\frac{90}{100}$$=0.1$

2. Multiply that share by the seconds in an average month (30.4375 days = 2,629,800 s) to get the monthly allowance

   $0.1\times \mathrm{2,629,800}\text{\hspace{0.17em}s}$$=\mathrm{262,980}\text{\hspace{0.17em}s}$$=\text{3 d 1 h 3 min}$

3. Multiply the same share by the seconds in a 365.25-day year to get the yearly allowance

   $0.1\times \mathrm{31,557,600}\text{\hspace{0.17em}s}$$=\mathrm{3,155,760}\text{\hspace{0.17em}s}$$=\text{36 d 12 h 36 min}$

7. Allowed downtime per month: 6 d 2 h 6 min

1. Find the share of time the service may be down: whatever the uptime percent leaves over

   $1-\frac{80}{100}$$=0.2$

2. Multiply that share by the seconds in an average month (30.4375 days = 2,629,800 s) to get the monthly allowance

   $0.2\times \mathrm{2,629,800}\text{\hspace{0.17em}s}$$=\mathrm{525,960}\text{\hspace{0.17em}s}$$=\text{6 d 2 h 6 min}$

3. Multiply the same share by the seconds in a 365.25-day year to get the yearly allowance

   $0.2\times \mathrm{31,557,600}\text{\hspace{0.17em}s}$$=\mathrm{6,311,520}\text{\hspace{0.17em}s}$$=\text{73 d 1 h 12 min}$

8. Uptime (availability): 99.9914%

1. Convert the downtime to seconds, so it can be compared with the length of the period

   $45\text{\hspace{0.17em}min}\times 60$$=\mathrm{2,700}\text{\hspace{0.17em}s}$

2. Find the uptime: the share of the year that was not downtime, as a percent

   $1-\frac{\mathrm{2,700}\text{\hspace{0.17em}s}}{\mathrm{31,557,600}\text{\hspace{0.17em}s}}\times 100$$=\mathrm{99.991444\%}$

3. Multiply that share by the seconds in an average month (30.4375 days = 2,629,800 s) to get the monthly allowance

   $0.0000855578\times \mathrm{2,629,800}\text{\hspace{0.17em}s}$$=225\text{\hspace{0.17em}s}$$=\text{3 min 45 s}$

4. Multiply the same share by the seconds in a 365.25-day year to get the yearly allowance

   $0.0000855578\times \mathrm{31,557,600}\text{\hspace{0.17em}s}$$=\mathrm{2,700}\text{\hspace{0.17em}s}$$=\text{45 min}$

9. Uptime (availability): 99.9293%

1. Convert the downtime to seconds, so it can be compared with the length of the period

   $31\text{\hspace{0.17em}min}\times 60$$=\mathrm{1,860}\text{\hspace{0.17em}s}$

2. Find the uptime: the share of the month that was not downtime, as a percent

   $1-\frac{\mathrm{1,860}\text{\hspace{0.17em}s}}{\mathrm{2,629,800}\text{\hspace{0.17em}s}}\times 100$$=\mathrm{99.929272\%}$

3. Multiply that share by the seconds in an average month (30.4375 days = 2,629,800 s) to get the monthly allowance

   $0.0007072781\times \mathrm{2,629,800}\text{\hspace{0.17em}s}$$=\mathrm{1,860}\text{\hspace{0.17em}s}$$=\text{31 min}$

4. Multiply the same share by the seconds in a 365.25-day year to get the yearly allowance

   $0.0007072781\times \mathrm{31,557,600}\text{\hspace{0.17em}s}$$=\mathrm{22,320}\text{\hspace{0.17em}s}$$=\text{6 h 12 min}$

10. Uptime (availability): 99.4544%

1. Convert the downtime to seconds, so it can be compared with the length of the period

   $55\text{\hspace{0.17em}min}\times 60$$=\mathrm{3,300}\text{\hspace{0.17em}s}$

2. Find the uptime: the share of the week that was not downtime, as a percent

   $1-\frac{\mathrm{3,300}\text{\hspace{0.17em}s}}{\mathrm{604,800}\text{\hspace{0.17em}s}}\times 100$$=\mathrm{99.454365\%}$

3. Multiply that share by the seconds in an average month (30.4375 days = 2,629,800 s) to get the monthly allowance

   $0.0054563492\times \mathrm{2,629,800}\text{\hspace{0.17em}s}$$=\mathrm{14,349.1071}\text{\hspace{0.17em}s}$$=\text{3 h 59 min 9 s}$

4. Multiply the same share by the seconds in a 365.25-day year to get the yearly allowance

   $0.0054563492\times \mathrm{31,557,600}\text{\hspace{0.17em}s}$$=\mathrm{172,189.2857}\text{\hspace{0.17em}s}$$=\text{1 d 23 h 49 min 49 s}$