#### Solution for 249 is what percent of 378:

249:378*100 =

(249*100):378 =

24900:378 = 65.87

Now we have: 249 is what percent of 378 = 65.87

Question: 249 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\%}={249}.

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

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

{x\%}={249}(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}{249}

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

\frac{x\%}{100\%}=\frac{249}{378}

\Rightarrow{x} = {65.87\%}

Therefore, {249} is {65.87\%} of {378}.

#### Solution for 378 is what percent of 249:

378:249*100 =

(378*100):249 =

37800:249 = 151.81

Now we have: 378 is what percent of 249 = 151.81

Question: 378 is what percent of 249?

Percentage solution with steps:

Step 1: We make the assumption that 249 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\%}={249}.

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

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

{100\%}={249}(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{249}{378}

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

\frac{x\%}{100\%}=\frac{378}{249}

\Rightarrow{x} = {151.81\%}

Therefore, {378} is {151.81\%} of {249}.

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