#### Solution for 30 is what percent of 57.75:

30:57.75*100 =

(30*100):57.75 =

3000:57.75 = 51.948051948052

Now we have: 30 is what percent of 57.75 = 51.948051948052

Question: 30 is what percent of 57.75?

Percentage solution with steps:

Step 1: We make the assumption that 57.75 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\%}={57.75}.

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

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

{100\%}={57.75}(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{57.75}{30}

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

\frac{x\%}{100\%}=\frac{30}{57.75}

\Rightarrow{x} = {51.948051948052\%}

Therefore, {30} is {51.948051948052\%} of {57.75}.

#### Solution for 57.75 is what percent of 30:

57.75:30*100 =

(57.75*100):30 =

5775:30 = 192.5

Now we have: 57.75 is what percent of 30 = 192.5

Question: 57.75 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\%}={57.75}.

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

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

{x\%}={57.75}(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}{57.75}

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

\frac{x\%}{100\%}=\frac{57.75}{30}

\Rightarrow{x} = {192.5\%}

Therefore, {57.75} is {192.5\%} of {30}.

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