#### Solution for 384 is what percent of 85:

384:85*100 =

(384*100):85 =

38400:85 = 451.76

Now we have: 384 is what percent of 85 = 451.76

Question: 384 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

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

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

{100\%}={85}(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{85}{384}

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

\frac{x\%}{100\%}=\frac{384}{85}

\Rightarrow{x} = {451.76\%}

Therefore, {384} is {451.76\%} of {85}.

#### Solution for 85 is what percent of 384:

85:384*100 =

(85*100):384 =

8500:384 = 22.14

Now we have: 85 is what percent of 384 = 22.14

Question: 85 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\%}={85}.

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

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

{x\%}={85}(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}{85}

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

\frac{x\%}{100\%}=\frac{85}{384}

\Rightarrow{x} = {22.14\%}

Therefore, {85} is {22.14\%} of {384}.

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