#### Solution for 40 is what percent of 163:

40:163*100 =

(40*100):163 =

4000:163 = 24.54

Now we have: 40 is what percent of 163 = 24.54

Question: 40 is what percent of 163?

Percentage solution with steps:

Step 1: We make the assumption that 163 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\%}={163}.

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

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

{100\%}={163}(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{163}{40}

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

\frac{x\%}{100\%}=\frac{40}{163}

\Rightarrow{x} = {24.54\%}

Therefore, {40} is {24.54\%} of {163}.

#### Solution for 163 is what percent of 40:

163:40*100 =

(163*100):40 =

16300:40 = 407.5

Now we have: 163 is what percent of 40 = 407.5

Question: 163 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\%}={163}.

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

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

{x\%}={163}(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}{163}

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

\frac{x\%}{100\%}=\frac{163}{40}

\Rightarrow{x} = {407.5\%}

Therefore, {163} is {407.5\%} of {40}.

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