#### Solution for 3000 is what percent of 6:

3000:6*100 =

(3000*100):6 =

300000:6 = 50000

Now we have: 3000 is what percent of 6 = 50000

Question: 3000 is what percent of 6?

Percentage solution with steps:

Step 1: We make the assumption that 6 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\%}={6}.

Step 4: In the same vein, {x\%}={3000}.

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

{100\%}={6}(1).

{x\%}={3000}(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{6}{3000}

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

\frac{x\%}{100\%}=\frac{3000}{6}

\Rightarrow{x} = {50000\%}

Therefore, {3000} is {50000\%} of {6}.

#### Solution for 6 is what percent of 3000:

6:3000*100 =

(6*100):3000 =

600:3000 = 0.2

Now we have: 6 is what percent of 3000 = 0.2

Question: 6 is what percent of 3000?

Percentage solution with steps:

Step 1: We make the assumption that 3000 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\%}={3000}.

Step 4: In the same vein, {x\%}={6}.

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

{100\%}={3000}(1).

{x\%}={6}(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{3000}{6}

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

\frac{x\%}{100\%}=\frac{6}{3000}

\Rightarrow{x} = {0.2\%}

Therefore, {6} is {0.2\%} of {3000}.

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