#### Solution for 165 is what percent of 210:

165:210*100 =

(165*100):210 =

16500:210 = 78.57

Now we have: 165 is what percent of 210 = 78.57

Question: 165 is what percent of 210?

Percentage solution with steps:

Step 1: We make the assumption that 210 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\%}={210}.

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

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

{100\%}={210}(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{210}{165}

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

\frac{x\%}{100\%}=\frac{165}{210}

\Rightarrow{x} = {78.57\%}

Therefore, {165} is {78.57\%} of {210}.

#### Solution for 210 is what percent of 165:

210:165*100 =

(210*100):165 =

21000:165 = 127.27

Now we have: 210 is what percent of 165 = 127.27

Question: 210 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\%}={210}.

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

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

{x\%}={210}(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}{210}

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

\frac{x\%}{100\%}=\frac{210}{165}

\Rightarrow{x} = {127.27\%}

Therefore, {210} is {127.27\%} of {165}.

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