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Solution for 165 is what percent of 39:

165:39*100 =

(165*100):39 =

16500:39 = 423.08

Now we have: 165 is what percent of 39 = 423.08

Question: 165 is what percent of 39?

Percentage solution with steps:

Step 1: We make the assumption that 39 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\%}={39}.

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

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

{100\%}={39}(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{39}{165}

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

\frac{x\%}{100\%}=\frac{165}{39}

\Rightarrow{x} = {423.08\%}

Therefore, {165} is {423.08\%} of {39}.

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Solution for 39 is what percent of 165:

39:165*100 =

(39*100):165 =

3900:165 = 23.64

Now we have: 39 is what percent of 165 = 23.64

Question: 39 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\%}={39}.

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

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

{x\%}={39}(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}{39}

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

\frac{x\%}{100\%}=\frac{39}{165}

\Rightarrow{x} = {23.64\%}

Therefore, {39} is {23.64\%} of {165}.