#### Solution for 7 is what percent of 384:

7:384*100 =

(7*100):384 =

700:384 = 1.82

Now we have: 7 is what percent of 384 = 1.82

Question: 7 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\%}={7}.

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

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

{x\%}={7}(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}{7}

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

\frac{x\%}{100\%}=\frac{7}{384}

\Rightarrow{x} = {1.82\%}

Therefore, {7} is {1.82\%} of {384}.

#### Solution for 384 is what percent of 7:

384:7*100 =

(384*100):7 =

38400:7 = 5485.71

Now we have: 384 is what percent of 7 = 5485.71

Question: 384 is what percent of 7?

Percentage solution with steps:

Step 1: We make the assumption that 7 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\%}={7}.

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

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

{100\%}={7}(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{7}{384}

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

\frac{x\%}{100\%}=\frac{384}{7}

\Rightarrow{x} = {5485.71\%}

Therefore, {384} is {5485.71\%} of {7}.

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