#### Solution for 164 is what percent of 574:

164:574*100 =

(164*100):574 =

16400:574 = 28.57

Now we have: 164 is what percent of 574 = 28.57

Question: 164 is what percent of 574?

Percentage solution with steps:

Step 1: We make the assumption that 574 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\%}={574}.

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

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

{100\%}={574}(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{574}{164}

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

\frac{x\%}{100\%}=\frac{164}{574}

\Rightarrow{x} = {28.57\%}

Therefore, {164} is {28.57\%} of {574}.

#### Solution for 574 is what percent of 164:

574:164*100 =

(574*100):164 =

57400:164 = 350

Now we have: 574 is what percent of 164 = 350

Question: 574 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\%}={574}.

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

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

{x\%}={574}(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}{574}

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

\frac{x\%}{100\%}=\frac{574}{164}

\Rightarrow{x} = {350\%}

Therefore, {574} is {350\%} of {164}.

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