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Solution for 165 is what percent of 288:

165:288*100 =

(165*100):288 =

16500:288 = 57.29

Now we have: 165 is what percent of 288 = 57.29

Question: 165 is what percent of 288?

Percentage solution with steps:

Step 1: We make the assumption that 288 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\%}={288}.

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

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

{100\%}={288}(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{288}{165}

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

\frac{x\%}{100\%}=\frac{165}{288}

\Rightarrow{x} = {57.29\%}

Therefore, {165} is {57.29\%} of {288}.

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Solution for 288 is what percent of 165:

288:165*100 =

(288*100):165 =

28800:165 = 174.55

Now we have: 288 is what percent of 165 = 174.55

Question: 288 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\%}={288}.

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

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

{x\%}={288}(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}{288}

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

\frac{x\%}{100\%}=\frac{288}{165}

\Rightarrow{x} = {174.55\%}

Therefore, {288} is {174.55\%} of {165}.