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Solution for 3 is what percent of 13:

3:13*100 =

(3*100):13 =

300:13 = 23.08

Now we have: 3 is what percent of 13 = 23.08

Question: 3 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

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

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

{100\%}={13}(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{13}{3}

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

\frac{x\%}{100\%}=\frac{3}{13}

\Rightarrow{x} = {23.08\%}

Therefore, {3} is {23.08\%} of {13}.

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• 3 is what percent of 13 = 23.08
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Solution for 13 is what percent of 3:

13:3*100 =

(13*100):3 =

1300:3 = 433.33

Now we have: 13 is what percent of 3 = 433.33

Question: 13 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\%}={13}.

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

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

{x\%}={13}(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}{13}

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

\frac{x\%}{100\%}=\frac{13}{3}

\Rightarrow{x} = {433.33\%}

Therefore, {13} is {433.33\%} of {3}.