#### Solution for 165 is what percent of 266:

165:266*100 =

(165*100):266 =

16500:266 = 62.03

Now we have: 165 is what percent of 266 = 62.03

Question: 165 is what percent of 266?

Percentage solution with steps:

Step 1: We make the assumption that 266 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\%}={266}.

Step 4: In the same vein, {x\%}={165}.

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

{100\%}={266}(1).

{x\%}={165}(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{266}{165}

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

\frac{x\%}{100\%}=\frac{165}{266}

\Rightarrow{x} = {62.03\%}

Therefore, {165} is {62.03\%} of {266}.

#### Solution for 266 is what percent of 165:

266:165*100 =

(266*100):165 =

26600:165 = 161.21

Now we have: 266 is what percent of 165 = 161.21

Question: 266 is what percent of 165?

Percentage solution with steps:

Step 1: We make the assumption that 165 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\%}={165}.

Step 4: In the same vein, {x\%}={266}.

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

{100\%}={165}(1).

{x\%}={266}(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{165}{266}

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

\frac{x\%}{100\%}=\frac{266}{165}

\Rightarrow{x} = {161.21\%}

Therefore, {266} is {161.21\%} of {165}.

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