#### Solution for 19 is what percent of 165:

19:165*100 =

(19*100):165 =

1900:165 = 11.52

Now we have: 19 is what percent of 165 = 11.52

Question: 19 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\%}={19}.

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

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

{x\%}={19}(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}{19}

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

\frac{x\%}{100\%}=\frac{19}{165}

\Rightarrow{x} = {11.52\%}

Therefore, {19} is {11.52\%} of {165}.

#### Solution for 165 is what percent of 19:

165:19*100 =

(165*100):19 =

16500:19 = 868.42

Now we have: 165 is what percent of 19 = 868.42

Question: 165 is what percent of 19?

Percentage solution with steps:

Step 1: We make the assumption that 19 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\%}={19}.

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

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

{100\%}={19}(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{19}{165}

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

\frac{x\%}{100\%}=\frac{165}{19}

\Rightarrow{x} = {868.42\%}

Therefore, {165} is {868.42\%} of {19}.

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