#### Solution for 40 is what percent of 81:

40:81*100 =

(40*100):81 =

4000:81 = 49.38

Now we have: 40 is what percent of 81 = 49.38

Question: 40 is what percent of 81?

Percentage solution with steps:

Step 1: We make the assumption that 81 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\%}={81}.

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

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

{100\%}={81}(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{81}{40}

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

\frac{x\%}{100\%}=\frac{40}{81}

\Rightarrow{x} = {49.38\%}

Therefore, {40} is {49.38\%} of {81}.

#### Solution for 81 is what percent of 40:

81:40*100 =

(81*100):40 =

8100:40 = 202.5

Now we have: 81 is what percent of 40 = 202.5

Question: 81 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\%}={81}.

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

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

{x\%}={81}(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}{81}

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

\frac{x\%}{100\%}=\frac{81}{40}

\Rightarrow{x} = {202.5\%}

Therefore, {81} is {202.5\%} of {40}.

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