#### Solution for 13 is what percent of 23:

13:23*100 =

(13*100):23 =

1300:23 = 56.52

Now we have: 13 is what percent of 23 = 56.52

Question: 13 is what percent of 23?

Percentage solution with steps:

Step 1: We make the assumption that 23 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\%}={23}.

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

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

{100\%}={23}(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{23}{13}

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

\frac{x\%}{100\%}=\frac{13}{23}

\Rightarrow{x} = {56.52\%}

Therefore, {13} is {56.52\%} of {23}.

#### Solution for 23 is what percent of 13:

23:13*100 =

(23*100):13 =

2300:13 = 176.92

Now we have: 23 is what percent of 13 = 176.92

Question: 23 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\%}={23}.

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

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

{x\%}={23}(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}{23}

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

\frac{x\%}{100\%}=\frac{23}{13}

\Rightarrow{x} = {176.92\%}

Therefore, {23} is {176.92\%} of {13}.

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