#### Solution for 3 is what percent of 365:

3:365*100 =

(3*100):365 =

300:365 = 0.82

Now we have: 3 is what percent of 365 = 0.82

Question: 3 is what percent of 365?

Percentage solution with steps:

Step 1: We make the assumption that 365 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={365}.

Step 4: In the same vein, {x\%}={3}.

Step 5: This gives us a pair of simple equations:

{100\%}={365}(1).

{x\%}={3}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{365}{3}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{3}{365}

\Rightarrow{x} = {0.82\%}

Therefore, {3} is {0.82\%} of {365}.

#### Solution for 365 is what percent of 3:

365:3*100 =

(365*100):3 =

36500:3 = 12166.67

Now we have: 365 is what percent of 3 = 12166.67

Question: 365 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={3}.

Step 4: In the same vein, {x\%}={365}.

Step 5: This gives us a pair of simple equations:

{100\%}={3}(1).

{x\%}={365}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{3}{365}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{365}{3}

\Rightarrow{x} = {12166.67\%}

Therefore, {365} is {12166.67\%} of {3}.

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