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Solution for 165 is what percent of 289:

165:289*100 =

(165*100):289 =

16500:289 = 57.09

Now we have: 165 is what percent of 289 = 57.09

Question: 165 is what percent of 289?

Percentage solution with steps:

Step 1: We make the assumption that 289 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\%}={289}.

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

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

{100\%}={289}(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{289}{165}

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

\frac{x\%}{100\%}=\frac{165}{289}

\Rightarrow{x} = {57.09\%}

Therefore, {165} is {57.09\%} of {289}.

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Solution for 289 is what percent of 165:

289:165*100 =

(289*100):165 =

28900:165 = 175.15

Now we have: 289 is what percent of 165 = 175.15

Question: 289 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\%}={289}.

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

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

{x\%}={289}(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}{289}

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

\frac{x\%}{100\%}=\frac{289}{165}

\Rightarrow{x} = {175.15\%}

Therefore, {289} is {175.15\%} of {165}.