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Solution for 165 is what percent of 24:

165:24*100 =

(165*100):24 =

16500:24 = 687.5

Now we have: 165 is what percent of 24 = 687.5

Question: 165 is what percent of 24?

Percentage solution with steps:

Step 1: We make the assumption that 24 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\%}={24}.

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

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

{100\%}={24}(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{24}{165}

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

\frac{x\%}{100\%}=\frac{165}{24}

\Rightarrow{x} = {687.5\%}

Therefore, {165} is {687.5\%} of {24}.

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• 165 is what percent of 24 = 687.5
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Solution for 24 is what percent of 165:

24:165*100 =

(24*100):165 =

2400:165 = 14.55

Now we have: 24 is what percent of 165 = 14.55

Question: 24 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\%}={24}.

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

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

{x\%}={24}(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}{24}

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

\frac{x\%}{100\%}=\frac{24}{165}

\Rightarrow{x} = {14.55\%}

Therefore, {24} is {14.55\%} of {165}.