#### Solution for 40 is what percent of 129:

40:129*100 =

(40*100):129 =

4000:129 = 31.01

Now we have: 40 is what percent of 129 = 31.01

Question: 40 is what percent of 129?

Percentage solution with steps:

Step 1: We make the assumption that 129 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\%}={129}.

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

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

{100\%}={129}(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{129}{40}

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

\frac{x\%}{100\%}=\frac{40}{129}

\Rightarrow{x} = {31.01\%}

Therefore, {40} is {31.01\%} of {129}.

#### Solution for 129 is what percent of 40:

129:40*100 =

(129*100):40 =

12900:40 = 322.5

Now we have: 129 is what percent of 40 = 322.5

Question: 129 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\%}={129}.

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

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

{x\%}={129}(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}{129}

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

\frac{x\%}{100\%}=\frac{129}{40}

\Rightarrow{x} = {322.5\%}

Therefore, {129} is {322.5\%} of {40}.

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