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Solution for 85 is what percent of 41:

85:41*100 =

(85*100):41 =

8500:41 = 207.32

Now we have: 85 is what percent of 41 = 207.32

Question: 85 is what percent of 41?

Percentage solution with steps:

Step 1: We make the assumption that 41 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\%}={41}.

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

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

{100\%}={41}(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{41}{85}

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

\frac{x\%}{100\%}=\frac{85}{41}

\Rightarrow{x} = {207.32\%}

Therefore, {85} is {207.32\%} of {41}.

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Solution for 41 is what percent of 85:

41:85*100 =

(41*100):85 =

4100:85 = 48.24

Now we have: 41 is what percent of 85 = 48.24

Question: 41 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\%}={41}.

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

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

{x\%}={41}(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}{41}

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

\frac{x\%}{100\%}=\frac{41}{85}

\Rightarrow{x} = {48.24\%}

Therefore, {41} is {48.24\%} of {85}.