Great! The next step will be to add the % formula in column B, in the sheet “Street Vote %”.
This will be based on the COUNTIFS (plural) function that can count rows on multiple criteria (whereas COUNTIF can only use one criteria).
To make it easier, I modified my example to match your sheet names (“Sheet 1” for the raw data, “Street Vote %” for the summary). In both sheets the data is in Table 1 (each sheet has its own Table 1).
In sheet “Street Vote %”, select cell B2 and type “=COUNTIF” (without the quotes) and choose the COUNTIFS (plural) in the suggestion bar to see (the formula bar is at the bottom of the screenshot):

Now, to select the data, click “test-values”, click Sheet 1 to select the sheet and select the range C2:C681 (just like you did for the UNIQUE function):

(My own street data is in column A.)
Now, click “condition”, go to sheet “Street Votes %” and type the following:
“=“ & A2
Press return and see if the resulting number matches the number of times street “Augusta” appears in Sheet 1. (In my example, street “Alan” only appears 3 times.) If the number matches, proceed to the next step.

(The “&” symbol is the concatenation operator; it joins characters into a single string. Numbers translate “=“ & A2 into “=Augusta”. This is similar to the “=X” you used before.)
Now double click cell B2 to enter edit mode, place the cursor right before the right parenthesis (the “crescent” icon), type a comma and you should see a new “test-values” field. Click it, click Sheet 1 to select the sheet and select the range E2:E681 (the values where the “X” appears):

Place the cursor right before the right parenthesis, type a comma and type the following (including the quotes):
”=X”
Press return to validate the formula. You should now see the number of times a vote was cast for street “Augusta”. (In my example, street “Alan” has 3 votes.)

To make sure everything looks good, copy cell B2, select cells B3 through B38 and paste. You will then see the number of votes for each street.

Let me know when you get there. The next step will be to divide the number of votes to get the percentage.