#### Solution for 39.8 is what percent of 40:

39.8:40*100 =

(39.8*100):40 =

3980:40 = 99.5

Now we have: 39.8 is what percent of 40 = 99.5

Question: 39.8 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={39.8}.

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

{100\%}={40}(1).

{x\%}={39.8}(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{40}{39.8}

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

\frac{x\%}{100\%}=\frac{39.8}{40}

\Rightarrow{x} = {99.5\%}

Therefore, {39.8} is {99.5\%} of {40}.

#### Solution for 40 is what percent of 39.8:

40:39.8*100 =

(40*100):39.8 =

4000:39.8 = 100.50251256281

Now we have: 40 is what percent of 39.8 = 100.50251256281

Question: 40 is what percent of 39.8?

Percentage solution with steps:

Step 1: We make the assumption that 39.8 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\%}={39.8}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={39.8}(1).

{x\%}={40}(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{39.8}{40}

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

\frac{x\%}{100\%}=\frac{40}{39.8}

\Rightarrow{x} = {100.50251256281\%}

Therefore, {40} is {100.50251256281\%} of {39.8}.

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