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Solution for 38.25 is what percent of 85:

38.25:85*100 =

(38.25*100):85 =

3825:85 = 45

Now we have: 38.25 is what percent of 85 = 45

Question: 38.25 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\%}={38.25}.

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

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

{x\%}={38.25}(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}{38.25}

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

\frac{x\%}{100\%}=\frac{38.25}{85}

\Rightarrow{x} = {45\%}

Therefore, {38.25} is {45\%} of {85}.

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• 38.25 is what percent of 100 = 38.25

Solution for 85 is what percent of 38.25:

85:38.25*100 =

(85*100):38.25 =

8500:38.25 = 222.22222222222

Now we have: 85 is what percent of 38.25 = 222.22222222222

Question: 85 is what percent of 38.25?

Percentage solution with steps:

Step 1: We make the assumption that 38.25 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\%}={38.25}.

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

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

{100\%}={38.25}(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{38.25}{85}

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

\frac{x\%}{100\%}=\frac{85}{38.25}

\Rightarrow{x} = {222.22222222222\%}

Therefore, {85} is {222.22222222222\%} of {38.25}.