#### Solution for 29.9 is what percent of 30:

29.9:30*100 =

(29.9*100):30 =

2990:30 = 99.666666666667

Now we have: 29.9 is what percent of 30 = 99.666666666667

Question: 29.9 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

Step 4: In the same vein, {x\%}={29.9}.

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

{100\%}={30}(1).

{x\%}={29.9}(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{30}{29.9}

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

\frac{x\%}{100\%}=\frac{29.9}{30}

\Rightarrow{x} = {99.666666666667\%}

Therefore, {29.9} is {99.666666666667\%} of {30}.

#### Solution for 30 is what percent of 29.9:

30:29.9*100 =

(30*100):29.9 =

3000:29.9 = 100.33444816054

Now we have: 30 is what percent of 29.9 = 100.33444816054

Question: 30 is what percent of 29.9?

Percentage solution with steps:

Step 1: We make the assumption that 29.9 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\%}={29.9}.

Step 4: In the same vein, {x\%}={30}.

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

{100\%}={29.9}(1).

{x\%}={30}(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{29.9}{30}

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

\frac{x\%}{100\%}=\frac{30}{29.9}

\Rightarrow{x} = {100.33444816054\%}

Therefore, {30} is {100.33444816054\%} of {29.9}.

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