#### Solution for 30 is what percent of 743:

30:743*100 =

(30*100):743 =

3000:743 = 4.04

Now we have: 30 is what percent of 743 = 4.04

Question: 30 is what percent of 743?

Percentage solution with steps:

Step 1: We make the assumption that 743 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\%}={743}.

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

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

{100\%}={743}(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{743}{30}

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

\frac{x\%}{100\%}=\frac{30}{743}

\Rightarrow{x} = {4.04\%}

Therefore, {30} is {4.04\%} of {743}.

#### Solution for 743 is what percent of 30:

743:30*100 =

(743*100):30 =

74300:30 = 2476.67

Now we have: 743 is what percent of 30 = 2476.67

Question: 743 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\%}={743}.

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

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

{x\%}={743}(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}{743}

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

\frac{x\%}{100\%}=\frac{743}{30}

\Rightarrow{x} = {2476.67\%}

Therefore, {743} is {2476.67\%} of {30}.

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