#### Solution for 29 is what percent of 109:

29:109*100 =

(29*100):109 =

2900:109 = 26.61

Now we have: 29 is what percent of 109 = 26.61

Question: 29 is what percent of 109?

Percentage solution with steps:

Step 1: We make the assumption that 109 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\%}={109}.

Step 4: In the same vein, {x\%}={29}.

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

{100\%}={109}(1).

{x\%}={29}(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{109}{29}

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

\frac{x\%}{100\%}=\frac{29}{109}

\Rightarrow{x} = {26.61\%}

Therefore, {29} is {26.61\%} of {109}.

#### Solution for 109 is what percent of 29:

109:29*100 =

(109*100):29 =

10900:29 = 375.86

Now we have: 109 is what percent of 29 = 375.86

Question: 109 is what percent of 29?

Percentage solution with steps:

Step 1: We make the assumption that 29 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\%}={29}.

Step 4: In the same vein, {x\%}={109}.

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

{100\%}={29}(1).

{x\%}={109}(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{29}{109}

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

\frac{x\%}{100\%}=\frac{109}{29}

\Rightarrow{x} = {375.86\%}

Therefore, {109} is {375.86\%} of {29}.

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