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Solution for 164 is what percent of 82:

164:82*100 =

( 164*100):82 =

16400:82 = 200

Now we have: 164 is what percent of 82 = 200

Question: 164 is what percent of 82?

Percentage solution with steps:

Step 1: We make the assumption that 82 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\%}={82}.

Step 4: In the same vein, {x\%}={ 164}.

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

{100\%}={82}(1).

{x\%}={ 164}(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{82}{ 164}

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

\frac{x\%}{100\%}=\frac{ 164}{82}

\Rightarrow{x} = {200\%}

Therefore, { 164} is {200\%} of {82}.

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Solution for 82 is what percent of 164:

82: 164*100 =

(82*100): 164 =

8200: 164 = 50

Now we have: 82 is what percent of 164 = 50

Question: 82 is what percent of 164?

Percentage solution with steps:

Step 1: We make the assumption that 164 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\%}={ 164}.

Step 4: In the same vein, {x\%}={82}.

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

{100\%}={ 164}(1).

{x\%}={82}(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{ 164}{82}

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

\frac{x\%}{100\%}=\frac{82}{ 164}

\Rightarrow{x} = {50\%}

Therefore, {82} is {50\%} of { 164}.