#### Solution for 6 is what percent of 375:

6:375*100 =

(6*100):375 =

600:375 = 1.6

Now we have: 6 is what percent of 375 = 1.6

Question: 6 is what percent of 375?

Percentage solution with steps:

Step 1: We make the assumption that 375 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\%}={375}.

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

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

{100\%}={375}(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{375}{6}

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

\frac{x\%}{100\%}=\frac{6}{375}

\Rightarrow{x} = {1.6\%}

Therefore, {6} is {1.6\%} of {375}.

#### Solution for 375 is what percent of 6:

375:6*100 =

(375*100):6 =

37500:6 = 6250

Now we have: 375 is what percent of 6 = 6250

Question: 375 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\%}={375}.

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

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

{x\%}={375}(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}{375}

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

\frac{x\%}{100\%}=\frac{375}{6}

\Rightarrow{x} = {6250\%}

Therefore, {375} is {6250\%} of {6}.

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