#### Solution for 5 is what percent of 1663:

5:1663*100 =

(5*100):1663 =

500:1663 = 0.3

Now we have: 5 is what percent of 1663 = 0.3

Question: 5 is what percent of 1663?

Percentage solution with steps:

Step 1: We make the assumption that 1663 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\%}={1663}.

Step 4: In the same vein, {x\%}={5}.

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

{100\%}={1663}(1).

{x\%}={5}(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{1663}{5}

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

\frac{x\%}{100\%}=\frac{5}{1663}

\Rightarrow{x} = {0.3\%}

Therefore, {5} is {0.3\%} of {1663}.

#### Solution for 1663 is what percent of 5:

1663:5*100 =

(1663*100):5 =

166300:5 = 33260

Now we have: 1663 is what percent of 5 = 33260

Question: 1663 is what percent of 5?

Percentage solution with steps:

Step 1: We make the assumption that 5 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\%}={5}.

Step 4: In the same vein, {x\%}={1663}.

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

{100\%}={5}(1).

{x\%}={1663}(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{5}{1663}

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

\frac{x\%}{100\%}=\frac{1663}{5}

\Rightarrow{x} = {33260\%}

Therefore, {1663} is {33260\%} of {5}.

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