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Solution for 164 is what percent of 1008:

164:1008*100 =

(164*100):1008 =

16400:1008 = 16.27

Now we have: 164 is what percent of 1008 = 16.27

Question: 164 is what percent of 1008?

Percentage solution with steps:

Step 1: We make the assumption that 1008 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\%}={1008}.

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

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

{100\%}={1008}(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{1008}{164}

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

\frac{x\%}{100\%}=\frac{164}{1008}

\Rightarrow{x} = {16.27\%}

Therefore, {164} is {16.27\%} of {1008}.

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Solution for 1008 is what percent of 164:

1008:164*100 =

(1008*100):164 =

100800:164 = 614.63

Now we have: 1008 is what percent of 164 = 614.63

Question: 1008 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\%}={1008}.

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

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

{x\%}={1008}(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}{1008}

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

\frac{x\%}{100\%}=\frac{1008}{164}

\Rightarrow{x} = {614.63\%}

Therefore, {1008} is {614.63\%} of {164}.