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Solution for 85.5 is what percent of 57:

85.5:57*100 =

(85.5*100):57 =

8550:57 = 150

Now we have: 85.5 is what percent of 57 = 150

Question: 85.5 is what percent of 57?

Percentage solution with steps:

Step 1: We make the assumption that 57 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\%}={57}.

Step 4: In the same vein, {x\%}={85.5}.

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

{100\%}={57}(1).

{x\%}={85.5}(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{57}{85.5}

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

\frac{x\%}{100\%}=\frac{85.5}{57}

\Rightarrow{x} = {150\%}

Therefore, {85.5} is {150\%} of {57}.

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• 85.5 is what percent of 100 = 85.5

Solution for 57 is what percent of 85.5:

57:85.5*100 =

(57*100):85.5 =

5700:85.5 = 66.666666666667

Now we have: 57 is what percent of 85.5 = 66.666666666667

Question: 57 is what percent of 85.5?

Percentage solution with steps:

Step 1: We make the assumption that 85.5 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\%}={85.5}.

Step 4: In the same vein, {x\%}={57}.

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

{100\%}={85.5}(1).

{x\%}={57}(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{85.5}{57}

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

\frac{x\%}{100\%}=\frac{57}{85.5}

\Rightarrow{x} = {66.666666666667\%}

Therefore, {57} is {66.666666666667\%} of {85.5}.