#### Solution for 384 is what percent of 600:

384:600*100 =

(384*100):600 =

38400:600 = 64

Now we have: 384 is what percent of 600 = 64

Question: 384 is what percent of 600?

Percentage solution with steps:

Step 1: We make the assumption that 600 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\%}={600}.

Step 4: In the same vein, {x\%}={384}.

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

{100\%}={600}(1).

{x\%}={384}(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{600}{384}

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

\frac{x\%}{100\%}=\frac{384}{600}

\Rightarrow{x} = {64\%}

Therefore, {384} is {64\%} of {600}.

#### Solution for 600 is what percent of 384:

600:384*100 =

(600*100):384 =

60000:384 = 156.25

Now we have: 600 is what percent of 384 = 156.25

Question: 600 is what percent of 384?

Percentage solution with steps:

Step 1: We make the assumption that 384 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}.

Step 4: In the same vein, {x\%}={600}.

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

{100\%}={384}(1).

{x\%}={600}(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}{600}

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

\frac{x\%}{100\%}=\frac{600}{384}

\Rightarrow{x} = {156.25\%}

Therefore, {600} is {156.25\%} of {384}.

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