#### Solution for 378 is what percent of 1155:

378:1155*100 =

(378*100):1155 =

37800:1155 = 32.73

Now we have: 378 is what percent of 1155 = 32.73

Question: 378 is what percent of 1155?

Percentage solution with steps:

Step 1: We make the assumption that 1155 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\%}={1155}.

Step 4: In the same vein, {x\%}={378}.

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

{100\%}={1155}(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{1155}{378}

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

\frac{x\%}{100\%}=\frac{378}{1155}

\Rightarrow{x} = {32.73\%}

Therefore, {378} is {32.73\%} of {1155}.

#### Solution for 1155 is what percent of 378:

1155:378*100 =

(1155*100):378 =

115500:378 = 305.56

Now we have: 1155 is what percent of 378 = 305.56

Question: 1155 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\%}={1155}.

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

{100\%}={378}(1).

{x\%}={1155}(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}{1155}

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

\frac{x\%}{100\%}=\frac{1155}{378}

\Rightarrow{x} = {305.56\%}

Therefore, {1155} is {305.56\%} of {378}.

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