#### Solution for 38.5 is what percent of 39:

38.5:39*100 =

(38.5*100):39 =

3850:39 = 98.717948717949

Now we have: 38.5 is what percent of 39 = 98.717948717949

Question: 38.5 is what percent of 39?

Percentage solution with steps:

Step 1: We make the assumption that 39 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}.

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

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

{100\%}={39}(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}{38.5}

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

\frac{x\%}{100\%}=\frac{38.5}{39}

\Rightarrow{x} = {98.717948717949\%}

Therefore, {38.5} is {98.717948717949\%} of {39}.

#### Solution for 39 is what percent of 38.5:

39:38.5*100 =

(39*100):38.5 =

3900:38.5 = 101.2987012987

Now we have: 39 is what percent of 38.5 = 101.2987012987

Question: 39 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}.

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

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

{x\%}={39}(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}

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

\frac{x\%}{100\%}=\frac{39}{38.5}

\Rightarrow{x} = {101.2987012987\%}

Therefore, {39} is {101.2987012987\%} of {38.5}.

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