#### Solution for 6 is what percent of 3.800:

6:3.800*100 =

(6*100):3.800 =

600:3.800 = 157.89473684211

Now we have: 6 is what percent of 3.800 = 157.89473684211

Question: 6 is what percent of 3.800?

Percentage solution with steps:

Step 1: We make the assumption that 3.800 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\%}={3.800}.

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

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

{100\%}={3.800}(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{3.800}{6}

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

\frac{x\%}{100\%}=\frac{6}{3.800}

\Rightarrow{x} = {157.89473684211\%}

Therefore, {6} is {157.89473684211\%} of {3.800}.

#### Solution for 3.800 is what percent of 6:

3.800:6*100 =

(3.800*100):6 =

380:6 = 63.333333333333

Now we have: 3.800 is what percent of 6 = 63.333333333333

Question: 3.800 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\%}={3.800}.

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

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

{x\%}={3.800}(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{6}{3.800}

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

\frac{x\%}{100\%}=\frac{3.800}{6}

\Rightarrow{x} = {63.333333333333\%}

Therefore, {3.800} is {63.333333333333\%} of {6}.

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