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Solution for 13 is what percent of 92:

13:92*100 =

(13*100):92 =

1300:92 = 14.13

Now we have: 13 is what percent of 92 = 14.13

Question: 13 is what percent of 92?

Percentage solution with steps:

Step 1: We make the assumption that 92 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\%}={92}.

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

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

{100\%}={92}(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{92}{13}

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

\frac{x\%}{100\%}=\frac{13}{92}

\Rightarrow{x} = {14.13\%}

Therefore, {13} is {14.13\%} of {92}.

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Solution for 92 is what percent of 13:

92:13*100 =

(92*100):13 =

9200:13 = 707.69

Now we have: 92 is what percent of 13 = 707.69

Question: 92 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\%}={92}.

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

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

{x\%}={92}(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}{92}

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

\frac{x\%}{100\%}=\frac{92}{13}

\Rightarrow{x} = {707.69\%}

Therefore, {92} is {707.69\%} of {13}.