#### Solution for 30 is what percent of 75:

30: 75*100 =

(30*100): 75 =

3000: 75 = 40

Now we have: 30 is what percent of 75 = 40

Question: 30 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={ 75}.

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

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

{100\%}={ 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{ 75}{30}

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

\frac{x\%}{100\%}=\frac{30}{ 75}

\Rightarrow{x} = {40\%}

Therefore, {30} is {40\%} of { 75}.

#### Solution for 75 is what percent of 30:

75:30*100 =

( 75*100):30 =

7500:30 = 250

Now we have: 75 is what percent of 30 = 250

Question: 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\%}={ 75}.

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

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

{x\%}={ 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}{ 75}

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

\frac{x\%}{100\%}=\frac{ 75}{30}

\Rightarrow{x} = {250\%}

Therefore, { 75} is {250\%} of {30}.

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