#### Solution for 20 is what percent of 688:

20:688*100 =

(20*100):688 =

2000:688 = 2.91

Now we have: 20 is what percent of 688 = 2.91

Question: 20 is what percent of 688?

Percentage solution with steps:

Step 1: We make the assumption that 688 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\%}={688}.

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

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

{100\%}={688}(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{688}{20}

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

\frac{x\%}{100\%}=\frac{20}{688}

\Rightarrow{x} = {2.91\%}

Therefore, {20} is {2.91\%} of {688}.

#### Solution for 688 is what percent of 20:

688:20*100 =

(688*100):20 =

68800:20 = 3440

Now we have: 688 is what percent of 20 = 3440

Question: 688 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\%}={688}.

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

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

{x\%}={688}(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}{688}

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

\frac{x\%}{100\%}=\frac{688}{20}

\Rightarrow{x} = {3440\%}

Therefore, {688} is {3440\%} of {20}.

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