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Solution for 85 is what percent of 492:

85:492*100 =

(85*100):492 =

8500:492 = 17.28

Now we have: 85 is what percent of 492 = 17.28

Question: 85 is what percent of 492?

Percentage solution with steps:

Step 1: We make the assumption that 492 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\%}={492}.

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

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

{100\%}={492}(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{492}{85}

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

\frac{x\%}{100\%}=\frac{85}{492}

\Rightarrow{x} = {17.28\%}

Therefore, {85} is {17.28\%} of {492}.

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Solution for 492 is what percent of 85:

492:85*100 =

(492*100):85 =

49200:85 = 578.82

Now we have: 492 is what percent of 85 = 578.82

Question: 492 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\%}={492}.

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

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

{x\%}={492}(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}{492}

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

\frac{x\%}{100\%}=\frac{492}{85}

\Rightarrow{x} = {578.82\%}

Therefore, {492} is {578.82\%} of {85}.