#### Solution for 40 is what percent of 168:

40:168*100 =

(40*100):168 =

4000:168 = 23.81

Now we have: 40 is what percent of 168 = 23.81

Question: 40 is what percent of 168?

Percentage solution with steps:

Step 1: We make the assumption that 168 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\%}={168}.

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

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

{100\%}={168}(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{168}{40}

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

\frac{x\%}{100\%}=\frac{40}{168}

\Rightarrow{x} = {23.81\%}

Therefore, {40} is {23.81\%} of {168}.

#### Solution for 168 is what percent of 40:

168:40*100 =

(168*100):40 =

16800:40 = 420

Now we have: 168 is what percent of 40 = 420

Question: 168 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\%}={168}.

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

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

{x\%}={168}(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}{168}

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

\frac{x\%}{100\%}=\frac{168}{40}

\Rightarrow{x} = {420\%}

Therefore, {168} is {420\%} of {40}.

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