#### Solution for 29 is what percent of 205:

29:205*100 =

(29*100):205 =

2900:205 = 14.15

Now we have: 29 is what percent of 205 = 14.15

Question: 29 is what percent of 205?

Percentage solution with steps:

Step 1: We make the assumption that 205 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\%}={205}.

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

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

{100\%}={205}(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{205}{29}

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

\frac{x\%}{100\%}=\frac{29}{205}

\Rightarrow{x} = {14.15\%}

Therefore, {29} is {14.15\%} of {205}.

#### Solution for 205 is what percent of 29:

205:29*100 =

(205*100):29 =

20500:29 = 706.9

Now we have: 205 is what percent of 29 = 706.9

Question: 205 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\%}={205}.

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

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

{x\%}={205}(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}{205}

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

\frac{x\%}{100\%}=\frac{205}{29}

\Rightarrow{x} = {706.9\%}

Therefore, {205} is {706.9\%} of {29}.

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