#### Solution for 394 is what percent of 1600:

394:1600*100 =

(394*100):1600 =

39400:1600 = 24.63

Now we have: 394 is what percent of 1600 = 24.63

Question: 394 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\%}={394}.

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

{100\%}={1600}(1).

{x\%}={394}(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}{394}

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

\frac{x\%}{100\%}=\frac{394}{1600}

\Rightarrow{x} = {24.63\%}

Therefore, {394} is {24.63\%} of {1600}.

#### Solution for 1600 is what percent of 394:

1600:394*100 =

(1600*100):394 =

160000:394 = 406.09

Now we have: 1600 is what percent of 394 = 406.09

Question: 1600 is what percent of 394?

Percentage solution with steps:

Step 1: We make the assumption that 394 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\%}={394}.

Step 4: In the same vein, {x\%}={1600}.

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

{100\%}={394}(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{394}{1600}

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

\frac{x\%}{100\%}=\frac{1600}{394}

\Rightarrow{x} = {406.09\%}

Therefore, {1600} is {406.09\%} of {394}.

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