#### Solution for 800 is what percent of 4004:

800:4004*100 =

(800*100):4004 =

80000:4004 = 19.98

Now we have: 800 is what percent of 4004 = 19.98

Question: 800 is what percent of 4004?

Percentage solution with steps:

Step 1: We make the assumption that 4004 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\%}={4004}.

Step 4: In the same vein, {x\%}={800}.

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

{100\%}={4004}(1).

{x\%}={800}(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{4004}{800}

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

\frac{x\%}{100\%}=\frac{800}{4004}

\Rightarrow{x} = {19.98\%}

Therefore, {800} is {19.98\%} of {4004}.

#### Solution for 4004 is what percent of 800:

4004:800*100 =

(4004*100):800 =

400400:800 = 500.5

Now we have: 4004 is what percent of 800 = 500.5

Question: 4004 is what percent of 800?

Percentage solution with steps:

Step 1: We make the assumption that 800 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\%}={800}.

Step 4: In the same vein, {x\%}={4004}.

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

{100\%}={800}(1).

{x\%}={4004}(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{800}{4004}

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

\frac{x\%}{100\%}=\frac{4004}{800}

\Rightarrow{x} = {500.5\%}

Therefore, {4004} is {500.5\%} of {800}.

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