#### Solution for 85 is what percent of 204:

85:204*100 =

(85*100):204 =

8500:204 = 41.67

Now we have: 85 is what percent of 204 = 41.67

Question: 85 is what percent of 204?

Percentage solution with steps:

Step 1: We make the assumption that 204 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\%}={204}.

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

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

{100\%}={204}(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{204}{85}

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

\frac{x\%}{100\%}=\frac{85}{204}

\Rightarrow{x} = {41.67\%}

Therefore, {85} is {41.67\%} of {204}.

#### Solution for 204 is what percent of 85:

204:85*100 =

(204*100):85 =

20400:85 = 240

Now we have: 204 is what percent of 85 = 240

Question: 204 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\%}={204}.

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

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

{x\%}={204}(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}{204}

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

\frac{x\%}{100\%}=\frac{204}{85}

\Rightarrow{x} = {240\%}

Therefore, {204} is {240\%} of {85}.

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