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Solution for 85 is what percent of 171:

85:171*100 =

(85*100):171 =

8500:171 = 49.71

Now we have: 85 is what percent of 171 = 49.71

Question: 85 is what percent of 171?

Percentage solution with steps:

Step 1: We make the assumption that 171 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\%}={171}.

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

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

{100\%}={171}(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{171}{85}

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

\frac{x\%}{100\%}=\frac{85}{171}

\Rightarrow{x} = {49.71\%}

Therefore, {85} is {49.71\%} of {171}.

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Solution for 171 is what percent of 85:

171:85*100 =

(171*100):85 =

17100:85 = 201.18

Now we have: 171 is what percent of 85 = 201.18

Question: 171 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\%}={171}.

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

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

{x\%}={171}(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}{171}

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

\frac{x\%}{100\%}=\frac{171}{85}

\Rightarrow{x} = {201.18\%}

Therefore, {171} is {201.18\%} of {85}.