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Solution for 8 is what percent of 49:

8: 49*100 =

(8*100): 49 =

800: 49 = 16.33

Now we have: 8 is what percent of 49 = 16.33

Question: 8 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={ 49}.

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

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

{100\%}={ 49}(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{ 49}{8}

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

\frac{x\%}{100\%}=\frac{8}{ 49}

\Rightarrow{x} = {16.33\%}

Therefore, {8} is {16.33\%} of { 49}.

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Solution for 49 is what percent of 8:

49:8*100 =

( 49*100):8 =

4900:8 = 612.5

Now we have: 49 is what percent of 8 = 612.5

Question: 49 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\%}={ 49}.

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

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

{x\%}={ 49}(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}{ 49}

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

\frac{x\%}{100\%}=\frac{ 49}{8}

\Rightarrow{x} = {612.5\%}

Therefore, { 49} is {612.5\%} of {8}.