#### Solution for 38.5 is what percent of 39.9:

38.5:39.9*100 =

(38.5*100):39.9 =

3850:39.9 = 96.491228070175

Now we have: 38.5 is what percent of 39.9 = 96.491228070175

Question: 38.5 is what percent of 39.9?

Percentage solution with steps:

Step 1: We make the assumption that 39.9 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\%}={39.9}.

Step 4: In the same vein, {x\%}={38.5}.

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

{100\%}={39.9}(1).

{x\%}={38.5}(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{39.9}{38.5}

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

\frac{x\%}{100\%}=\frac{38.5}{39.9}

\Rightarrow{x} = {96.491228070175\%}

Therefore, {38.5} is {96.491228070175\%} of {39.9}.

#### Solution for 39.9 is what percent of 38.5:

39.9:38.5*100 =

(39.9*100):38.5 =

3990:38.5 = 103.63636363636

Now we have: 39.9 is what percent of 38.5 = 103.63636363636

Question: 39.9 is what percent of 38.5?

Percentage solution with steps:

Step 1: We make the assumption that 38.5 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\%}={38.5}.

Step 4: In the same vein, {x\%}={39.9}.

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

{100\%}={38.5}(1).

{x\%}={39.9}(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{38.5}{39.9}

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

\frac{x\%}{100\%}=\frac{39.9}{38.5}

\Rightarrow{x} = {103.63636363636\%}

Therefore, {39.9} is {103.63636363636\%} of {38.5}.

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