#### Solution for 40 is what percent of 243:

40:243*100 =

(40*100):243 =

4000:243 = 16.46

Now we have: 40 is what percent of 243 = 16.46

Question: 40 is what percent of 243?

Percentage solution with steps:

Step 1: We make the assumption that 243 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\%}={243}.

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

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

{100\%}={243}(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{243}{40}

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

\frac{x\%}{100\%}=\frac{40}{243}

\Rightarrow{x} = {16.46\%}

Therefore, {40} is {16.46\%} of {243}.

#### Solution for 243 is what percent of 40:

243:40*100 =

(243*100):40 =

24300:40 = 607.5

Now we have: 243 is what percent of 40 = 607.5

Question: 243 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\%}={243}.

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

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

{x\%}={243}(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}{243}

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

\frac{x\%}{100\%}=\frac{243}{40}

\Rightarrow{x} = {607.5\%}

Therefore, {243} is {607.5\%} of {40}.

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