#### Solution for 2.9 is what percent of 20:

2.9:20*100 =

(2.9*100):20 =

290:20 = 14.5

Now we have: 2.9 is what percent of 20 = 14.5

Question: 2.9 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

Step 4: In the same vein, {x\%}={2.9}.

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

{100\%}={20}(1).

{x\%}={2.9}(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{20}{2.9}

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

\frac{x\%}{100\%}=\frac{2.9}{20}

\Rightarrow{x} = {14.5\%}

Therefore, {2.9} is {14.5\%} of {20}.

#### Solution for 20 is what percent of 2.9:

20:2.9*100 =

(20*100):2.9 =

2000:2.9 = 689.65517241379

Now we have: 20 is what percent of 2.9 = 689.65517241379

Question: 20 is what percent of 2.9?

Percentage solution with steps:

Step 1: We make the assumption that 2.9 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\%}={2.9}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={2.9}(1).

{x\%}={20}(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{2.9}{20}

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

\frac{x\%}{100\%}=\frac{20}{2.9}

\Rightarrow{x} = {689.65517241379\%}

Therefore, {20} is {689.65517241379\%} of {2.9}.

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