#### Solution for 30 is what percent of 542:

30:542*100 =

(30*100):542 =

3000:542 = 5.54

Now we have: 30 is what percent of 542 = 5.54

Question: 30 is what percent of 542?

Percentage solution with steps:

Step 1: We make the assumption that 542 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\%}={542}.

Step 4: In the same vein, {x\%}={30}.

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

{100\%}={542}(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{542}{30}

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

\frac{x\%}{100\%}=\frac{30}{542}

\Rightarrow{x} = {5.54\%}

Therefore, {30} is {5.54\%} of {542}.

#### Solution for 542 is what percent of 30:

542:30*100 =

(542*100):30 =

54200:30 = 1806.67

Now we have: 542 is what percent of 30 = 1806.67

Question: 542 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\%}={542}.

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

{100\%}={30}(1).

{x\%}={542}(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}{542}

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

\frac{x\%}{100\%}=\frac{542}{30}

\Rightarrow{x} = {1806.67\%}

Therefore, {542} is {1806.67\%} of {30}.

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