#### Solution for 378 is what percent of 472:

378:472*100 =

(378*100):472 =

37800:472 = 80.08

Now we have: 378 is what percent of 472 = 80.08

Question: 378 is what percent of 472?

Percentage solution with steps:

Step 1: We make the assumption that 472 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\%}={472}.

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

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

{100\%}={472}(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{472}{378}

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

\frac{x\%}{100\%}=\frac{378}{472}

\Rightarrow{x} = {80.08\%}

Therefore, {378} is {80.08\%} of {472}.

#### Solution for 472 is what percent of 378:

472:378*100 =

(472*100):378 =

47200:378 = 124.87

Now we have: 472 is what percent of 378 = 124.87

Question: 472 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\%}={472}.

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

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

{x\%}={472}(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}{472}

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

\frac{x\%}{100\%}=\frac{472}{378}

\Rightarrow{x} = {124.87\%}

Therefore, {472} is {124.87\%} of {378}.

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