#### Solution for 23 is what percent of 65:

23:65*100 =

(23*100):65 =

2300:65 = 35.38

Now we have: 23 is what percent of 65 = 35.38

Question: 23 is what percent of 65?

Percentage solution with steps:

Step 1: We make the assumption that 65 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\%}={65}.

Step 4: In the same vein, {x\%}={23}.

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

{100\%}={65}(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{65}{23}

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

\frac{x\%}{100\%}=\frac{23}{65}

\Rightarrow{x} = {35.38\%}

Therefore, {23} is {35.38\%} of {65}.

#### Solution for 65 is what percent of 23:

65:23*100 =

(65*100):23 =

6500:23 = 282.61

Now we have: 65 is what percent of 23 = 282.61

Question: 65 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\%}={65}.

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

{100\%}={23}(1).

{x\%}={65}(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}{65}

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

\frac{x\%}{100\%}=\frac{65}{23}

\Rightarrow{x} = {282.61\%}

Therefore, {65} is {282.61\%} of {23}.

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