#### Solution for 4000 is what percent of 1600:

4000:1600*100 =

(4000*100):1600 =

400000:1600 = 250

Now we have: 4000 is what percent of 1600 = 250

Question: 4000 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\%}={4000}.

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

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

{x\%}={4000}(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}{4000}

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

\frac{x\%}{100\%}=\frac{4000}{1600}

\Rightarrow{x} = {250\%}

Therefore, {4000} is {250\%} of {1600}.

#### Solution for 1600 is what percent of 4000:

1600:4000*100 =

(1600*100):4000 =

160000:4000 = 40

Now we have: 1600 is what percent of 4000 = 40

Question: 1600 is what percent of 4000?

Percentage solution with steps:

Step 1: We make the assumption that 4000 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\%}={4000}.

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

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

{100\%}={4000}(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{4000}{1600}

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

\frac{x\%}{100\%}=\frac{1600}{4000}

\Rightarrow{x} = {40\%}

Therefore, {1600} is {40\%} of {4000}.

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