#### Solution for 378 is what percent of 30:

378:30*100 =

(378*100):30 =

37800:30 = 1260

Now we have: 378 is what percent of 30 = 1260

Question: 378 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\%}={378}.

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

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

{x\%}={378}(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}{378}

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

\frac{x\%}{100\%}=\frac{378}{30}

\Rightarrow{x} = {1260\%}

Therefore, {378} is {1260\%} of {30}.

#### Solution for 30 is what percent of 378:

30:378*100 =

(30*100):378 =

3000:378 = 7.94

Now we have: 30 is what percent of 378 = 7.94

Question: 30 is what percent of 378?

Percentage solution with steps:

Step 1: We make the assumption that 378 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\%}={378}.

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

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

{100\%}={378}(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{378}{30}

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

\frac{x\%}{100\%}=\frac{30}{378}

\Rightarrow{x} = {7.94\%}

Therefore, {30} is {7.94\%} of {378}.

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