#### Solution for 177 is what percent of 6:

177:6*100 =

(177*100):6 =

17700:6 = 2950

Now we have: 177 is what percent of 6 = 2950

Question: 177 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\%}={177}.

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

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

{x\%}={177}(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}{177}

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

\frac{x\%}{100\%}=\frac{177}{6}

\Rightarrow{x} = {2950\%}

Therefore, {177} is {2950\%} of {6}.

#### Solution for 6 is what percent of 177:

6:177*100 =

(6*100):177 =

600:177 = 3.39

Now we have: 6 is what percent of 177 = 3.39

Question: 6 is what percent of 177?

Percentage solution with steps:

Step 1: We make the assumption that 177 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\%}={177}.

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

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

{100\%}={177}(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{177}{6}

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

\frac{x\%}{100\%}=\frac{6}{177}

\Rightarrow{x} = {3.39\%}

Therefore, {6} is {3.39\%} of {177}.

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