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Solution for 13 is what percent of 182:

13:182*100 =

( 13*100):182 =

1300:182 = 7.14

Now we have: 13 is what percent of 182 = 7.14

Question: 13 is what percent of 182?

Percentage solution with steps:

Step 1: We make the assumption that 182 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\%}={182}.

Step 4: In the same vein, {x\%}={ 13}.

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

{100\%}={182}(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{182}{ 13}

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

\frac{x\%}{100\%}=\frac{ 13}{182}

\Rightarrow{x} = {7.14\%}

Therefore, { 13} is {7.14\%} of {182}.

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Solution for 182 is what percent of 13:

182: 13*100 =

(182*100): 13 =

18200: 13 = 1400

Now we have: 182 is what percent of 13 = 1400

Question: 182 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\%}={182}.

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

{100\%}={ 13}(1).

{x\%}={182}(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}{182}

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

\frac{x\%}{100\%}=\frac{182}{ 13}

\Rightarrow{x} = {1400\%}

Therefore, {182} is {1400\%} of { 13}.