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Solution for 164 is what percent of 30:

164:30*100 =

(164*100):30 =

16400:30 = 546.67

Now we have: 164 is what percent of 30 = 546.67

Question: 164 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

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

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

{100\%}={30}(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{30}{164}

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

\frac{x\%}{100\%}=\frac{164}{30}

\Rightarrow{x} = {546.67\%}

Therefore, {164} is {546.67\%} of {30}.

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Solution for 30 is what percent of 164:

30:164*100 =

(30*100):164 =

3000:164 = 18.29

Now we have: 30 is what percent of 164 = 18.29

Question: 30 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\%}={30}.

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

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

{x\%}={30}(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}{30}

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

\frac{x\%}{100\%}=\frac{30}{164}

\Rightarrow{x} = {18.29\%}

Therefore, {30} is {18.29\%} of {164}.