Solution for 4 is what percent of 1006:

4:1006*100 =

(4*100):1006 =

400:1006 = 0.4

Now we have: 4 is what percent of 1006 = 0.4

Question: 4 is what percent of 1006?

Percentage solution with steps:

Step 1: We make the assumption that 1006 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\%}={1006}.

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

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

{100\%}={1006}(1).

{x\%}={4}(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{1006}{4}

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

\frac{x\%}{100\%}=\frac{4}{1006}

\Rightarrow{x} = {0.4\%}

Therefore, {4} is {0.4\%} of {1006}.

Solution for 1006 is what percent of 4:

1006:4*100 =

(1006*100):4 =

100600:4 = 25150

Now we have: 1006 is what percent of 4 = 25150

Question: 1006 is what percent of 4?

Percentage solution with steps:

Step 1: We make the assumption that 4 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\%}={4}.

Step 4: In the same vein, {x\%}={1006}.

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

{100\%}={4}(1).

{x\%}={1006}(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{4}{1006}

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

\frac{x\%}{100\%}=\frac{1006}{4}

\Rightarrow{x} = {25150\%}

Therefore, {1006} is {25150\%} of {4}.

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