#### Solution for 85 is what percent of 383:

85:383*100 =

(85*100):383 =

8500:383 = 22.19

Now we have: 85 is what percent of 383 = 22.19

Question: 85 is what percent of 383?

Percentage solution with steps:

Step 1: We make the assumption that 383 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\%}={383}.

Step 4: In the same vein, {x\%}={85}.

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

{100\%}={383}(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{383}{85}

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

\frac{x\%}{100\%}=\frac{85}{383}

\Rightarrow{x} = {22.19\%}

Therefore, {85} is {22.19\%} of {383}.

#### Solution for 383 is what percent of 85:

383:85*100 =

(383*100):85 =

38300:85 = 450.59

Now we have: 383 is what percent of 85 = 450.59

Question: 383 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\%}={383}.

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

{100\%}={85}(1).

{x\%}={383}(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}{383}

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

\frac{x\%}{100\%}=\frac{383}{85}

\Rightarrow{x} = {450.59\%}

Therefore, {383} is {450.59\%} of {85}.

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