#### Solution for 40.5 is what percent of 40:

40.5:40*100 =

(40.5*100):40 =

4050:40 = 101.25

Now we have: 40.5 is what percent of 40 = 101.25

Question: 40.5 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\%}={40.5}.

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

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

{x\%}={40.5}(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{40}{40.5}

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

\frac{x\%}{100\%}=\frac{40.5}{40}

\Rightarrow{x} = {101.25\%}

Therefore, {40.5} is {101.25\%} of {40}.

#### Solution for 40 is what percent of 40.5:

40:40.5*100 =

(40*100):40.5 =

4000:40.5 = 98.765432098765

Now we have: 40 is what percent of 40.5 = 98.765432098765

Question: 40 is what percent of 40.5?

Percentage solution with steps:

Step 1: We make the assumption that 40.5 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\%}={40.5}.

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

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

{100\%}={40.5}(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{40.5}{40}

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

\frac{x\%}{100\%}=\frac{40}{40.5}

\Rightarrow{x} = {98.765432098765\%}

Therefore, {40} is {98.765432098765\%} of {40.5}.

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