To start with the math, we need to observe several design challenges that metric time had to overcome. The first of those being that we needed to preserve the length of a day. That is why there is a unit that equals exactly 1 day in the metric system. The kilochron (Kc) is that unit. This is important since a day isn’t an abstract idea, and therefore it needs to be respected. Every unit is really just several 10x of 1/10th of the Kc. Such as the chron (C), which is 1/1000th of a Kc. The chron is the base unit of the metric time system. This is because it is 1.44 minutes long. 1.44 minutes is a big enough unit that it isn’t obsolete, but it isn’t too big that everyone measures in a smaller unit. Below is the conversion table. The best way to convert an old time into metric time is to convert the time all into a smaller unit. After that, you just do the conversion to get the metric time.
Name
Abbreviation
Days
Hours
Minutes
Seconds
Kilochron
Kc
1
24
1440
86400
Hectochron
Hc
0.1
2.4
144
8640
Decachron
Dc
0.01
.24
14.4
864
Chron
c
0.001
.024
1.44
86.4
Decichron
dc
0.0001
.0024
.144
8.64
Centichron
cc
0.00001
.00024
.0144
.864
For example, to convert 9:45 into chron we would do 9*60^2 to get 32400sec and 45*60 to get 2700. Then we add those together which results in 35100. To finish the conversion to chron, we do 35100/86.4 = 406.25c. The current metric time would be 406c.