#### Solution for 17.7 is what percent of 8:

17.7:8*100 =

(17.7*100):8 =

1770:8 = 221.25

Now we have: 17.7 is what percent of 8 = 221.25

Question: 17.7 is what percent of 8?

Percentage solution with steps:

Step 1: We make the assumption that 8 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\%}={8}.

Step 4: In the same vein, {x\%}={17.7}.

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

{100\%}={8}(1).

{x\%}={17.7}(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{8}{17.7}

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

\frac{x\%}{100\%}=\frac{17.7}{8}

\Rightarrow{x} = {221.25\%}

Therefore, {17.7} is {221.25\%} of {8}.

#### Solution for 8 is what percent of 17.7:

8:17.7*100 =

(8*100):17.7 =

800:17.7 = 45.197740112994

Now we have: 8 is what percent of 17.7 = 45.197740112994

Question: 8 is what percent of 17.7?

Percentage solution with steps:

Step 1: We make the assumption that 17.7 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\%}={17.7}.

Step 4: In the same vein, {x\%}={8}.

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

{100\%}={17.7}(1).

{x\%}={8}(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{17.7}{8}

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

\frac{x\%}{100\%}=\frac{8}{17.7}

\Rightarrow{x} = {45.197740112994\%}

Therefore, {8} is {45.197740112994\%} of {17.7}.

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