#### Solution for 546 is what percent of 150:

546:150*100 =

(546*100):150 =

54600:150 = 364

Now we have: 546 is what percent of 150 = 364

Question: 546 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 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\%}={150}.

Step 4: In the same vein, {x\%}={546}.

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

{100\%}={150}(1).

{x\%}={546}(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{150}{546}

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

\frac{x\%}{100\%}=\frac{546}{150}

\Rightarrow{x} = {364\%}

Therefore, {546} is {364\%} of {150}.

#### Solution for 150 is what percent of 546:

150:546*100 =

(150*100):546 =

15000:546 = 27.47

Now we have: 150 is what percent of 546 = 27.47

Question: 150 is what percent of 546?

Percentage solution with steps:

Step 1: We make the assumption that 546 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\%}={546}.

Step 4: In the same vein, {x\%}={150}.

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

{100\%}={546}(1).

{x\%}={150}(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{546}{150}

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

\frac{x\%}{100\%}=\frac{150}{546}

\Rightarrow{x} = {27.47\%}

Therefore, {150} is {27.47\%} of {546}.

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