#### Solution for 49 is what percent of 729:

49:729*100 =

(49*100):729 =

4900:729 = 6.72

Now we have: 49 is what percent of 729 = 6.72

Question: 49 is what percent of 729?

Percentage solution with steps:

Step 1: We make the assumption that 729 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\%}={729}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={729}(1).

{x\%}={49}(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{729}{49}

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

\frac{x\%}{100\%}=\frac{49}{729}

\Rightarrow{x} = {6.72\%}

Therefore, {49} is {6.72\%} of {729}.

#### Solution for 729 is what percent of 49:

729:49*100 =

(729*100):49 =

72900:49 = 1487.76

Now we have: 729 is what percent of 49 = 1487.76

Question: 729 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={729}.

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

{100\%}={49}(1).

{x\%}={729}(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{49}{729}

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

\frac{x\%}{100\%}=\frac{729}{49}

\Rightarrow{x} = {1487.76\%}

Therefore, {729} is {1487.76\%} of {49}.

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