#### Solution for 29 is what percent of 415:

29:415*100 =

(29*100):415 =

2900:415 = 6.99

Now we have: 29 is what percent of 415 = 6.99

Question: 29 is what percent of 415?

Percentage solution with steps:

Step 1: We make the assumption that 415 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\%}={415}.

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

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

{100\%}={415}(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{415}{29}

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

\frac{x\%}{100\%}=\frac{29}{415}

\Rightarrow{x} = {6.99\%}

Therefore, {29} is {6.99\%} of {415}.

#### Solution for 415 is what percent of 29:

415:29*100 =

(415*100):29 =

41500:29 = 1431.03

Now we have: 415 is what percent of 29 = 1431.03

Question: 415 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\%}={415}.

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

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

{x\%}={415}(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}{415}

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

\frac{x\%}{100\%}=\frac{415}{29}

\Rightarrow{x} = {1431.03\%}

Therefore, {415} is {1431.03\%} of {29}.

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