#### Solution for 1600 is what percent of 20:

1600:20*100 =

(1600*100):20 =

160000:20 = 8000

Now we have: 1600 is what percent of 20 = 8000

Question: 1600 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\%}={1600}.

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

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

{x\%}={1600}(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}{1600}

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

\frac{x\%}{100\%}=\frac{1600}{20}

\Rightarrow{x} = {8000\%}

Therefore, {1600} is {8000\%} of {20}.

#### Solution for 20 is what percent of 1600:

20:1600*100 =

(20*100):1600 =

2000:1600 = 1.25

Now we have: 20 is what percent of 1600 = 1.25

Question: 20 is what percent of 1600?

Percentage solution with steps:

Step 1: We make the assumption that 1600 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\%}={1600}.

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

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

{100\%}={1600}(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{1600}{20}

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

\frac{x\%}{100\%}=\frac{20}{1600}

\Rightarrow{x} = {1.25\%}

Therefore, {20} is {1.25\%} of {1600}.

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