#### Solution for 1600 is what percent of 41600:

1600:41600*100 =

(1600*100):41600 =

160000:41600 = 3.85

Now we have: 1600 is what percent of 41600 = 3.85

Question: 1600 is what percent of 41600?

Percentage solution with steps:

Step 1: We make the assumption that 41600 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\%}={41600}.

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

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

{100\%}={41600}(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{41600}{1600}

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

\frac{x\%}{100\%}=\frac{1600}{41600}

\Rightarrow{x} = {3.85\%}

Therefore, {1600} is {3.85\%} of {41600}.

#### Solution for 41600 is what percent of 1600:

41600:1600*100 =

(41600*100):1600 =

4160000:1600 = 2600

Now we have: 41600 is what percent of 1600 = 2600

Question: 41600 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\%}={41600}.

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

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

{x\%}={41600}(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}{41600}

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

\frac{x\%}{100\%}=\frac{41600}{1600}

\Rightarrow{x} = {2600\%}

Therefore, {41600} is {2600\%} of {1600}.

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