#### Solution for 3 is what percent of 52:

3:52*100 =

(3*100):52 =

300:52 = 5.77

Now we have: 3 is what percent of 52 = 5.77

Question: 3 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

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

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

{100\%}={52}(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{52}{3}

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

\frac{x\%}{100\%}=\frac{3}{52}

\Rightarrow{x} = {5.77\%}

Therefore, {3} is {5.77\%} of {52}.

#### Solution for 52 is what percent of 3:

52:3*100 =

(52*100):3 =

5200:3 = 1733.33

Now we have: 52 is what percent of 3 = 1733.33

Question: 52 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\%}={52}.

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

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

{x\%}={52}(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}{52}

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

\frac{x\%}{100\%}=\frac{52}{3}

\Rightarrow{x} = {1733.33\%}

Therefore, {52} is {1733.33\%} of {3}.

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