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Solution for 36.2 is what percent of 85:

36.2:85*100 =

(36.2*100):85 =

3620:85 = 42.588235294118

Now we have: 36.2 is what percent of 85 = 42.588235294118

Question: 36.2 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\%}={36.2}.

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

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

{x\%}={36.2}(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}{36.2}

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

\frac{x\%}{100\%}=\frac{36.2}{85}

\Rightarrow{x} = {42.588235294118\%}

Therefore, {36.2} is {42.588235294118\%} of {85}.

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Solution for 85 is what percent of 36.2:

85:36.2*100 =

(85*100):36.2 =

8500:36.2 = 234.80662983425

Now we have: 85 is what percent of 36.2 = 234.80662983425

Question: 85 is what percent of 36.2?

Percentage solution with steps:

Step 1: We make the assumption that 36.2 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\%}={36.2}.

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

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

{100\%}={36.2}(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{36.2}{85}

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

\frac{x\%}{100\%}=\frac{85}{36.2}

\Rightarrow{x} = {234.80662983425\%}

Therefore, {85} is {234.80662983425\%} of {36.2}.