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Solution for 242.5 is what percent of 85:

242.5:85*100 =

(242.5*100):85 =

24250:85 = 285.29411764706

Now we have: 242.5 is what percent of 85 = 285.29411764706

Question: 242.5 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\%}={242.5}.

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

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

{x\%}={242.5}(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{85}{242.5}

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

\frac{x\%}{100\%}=\frac{242.5}{85}

\Rightarrow{x} = {285.29411764706\%}

Therefore, {242.5} is {285.29411764706\%} of {85}.

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• 242.5 is what percent of 99 = 244.95
• 242.5 is what percent of 100 = 242.5

Solution for 85 is what percent of 242.5:

85:242.5*100 =

(85*100):242.5 =

8500:242.5 = 35.051546391753

Now we have: 85 is what percent of 242.5 = 35.051546391753

Question: 85 is what percent of 242.5?

Percentage solution with steps:

Step 1: We make the assumption that 242.5 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\%}={242.5}.

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

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

{100\%}={242.5}(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{242.5}{85}

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

\frac{x\%}{100\%}=\frac{85}{242.5}

\Rightarrow{x} = {35.051546391753\%}

Therefore, {85} is {35.051546391753\%} of {242.5}.