You can use the decimal data type and specify the precision to state how many digits are after the decimal point. So you could use decimal(28,20) for example, which would hold 28 digits with 20 of them after the decimal point.
Here's a SQL Fiddle, showing your data in decimal format.
Fiddle sample:
create table Table1(MyValues varchar(100))
insert into Table1(MyValues)
values
('-28.851540616246499'),
('-22.857142857142858'),
('-26.923076923076923'),
('76.19047619047619')
So the values are held as varchar in this table, but you can cast it to decimal as long as they are all valid values, like so:
select cast(MyValues as decimal(28,20)) as DecimalValues
from table1
Your Sample
Looking at your sample update statement, you wouldn't be able to convert the values from varchar to a numeric type and insert them back in to the same column, as the column is of type varchar. You would be better off adding a new column with a numeric data type and updating that.
So if you had 2 columns:
create table Table1(MyValues varchar(100), DecimalValues decimal(28,20))
You could do the below to update the numeric column with the nvarchar values that have been cast to decimal:
update Table1
set DecimalValues = cast(MyValues as decimal(28,20))