#### Solution for 384.5 is what percent of 1538:

384.5:1538*100 =

(384.5*100):1538 =

38450:1538 = 25

Now we have: 384.5 is what percent of 1538 = 25

Question: 384.5 is what percent of 1538?

Percentage solution with steps:

Step 1: We make the assumption that 1538 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\%}={1538}.

Step 4: In the same vein, {x\%}={384.5}.

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

{100\%}={1538}(1).

{x\%}={384.5}(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{1538}{384.5}

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

\frac{x\%}{100\%}=\frac{384.5}{1538}

\Rightarrow{x} = {25\%}

Therefore, {384.5} is {25\%} of {1538}.

#### Solution for 1538 is what percent of 384.5:

1538:384.5*100 =

(1538*100):384.5 =

153800:384.5 = 400

Now we have: 1538 is what percent of 384.5 = 400

Question: 1538 is what percent of 384.5?

Percentage solution with steps:

Step 1: We make the assumption that 384.5 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\%}={384.5}.

Step 4: In the same vein, {x\%}={1538}.

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

{100\%}={384.5}(1).

{x\%}={1538}(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{384.5}{1538}

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

\frac{x\%}{100\%}=\frac{1538}{384.5}

\Rightarrow{x} = {400\%}

Therefore, {1538} is {400\%} of {384.5}.

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