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Solution for 5 is what percent of 8:

5:8*100 =

( 5*100):8 =

500:8 = 62.5

Now we have: 5 is what percent of 8 = 62.5

Question: 5 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\%}={ 5}.

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

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

{x\%}={ 5}(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}{ 5}

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

\frac{x\%}{100\%}=\frac{ 5}{8}

\Rightarrow{x} = {62.5\%}

Therefore, { 5} is {62.5\%} of {8}.

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Solution for 8 is what percent of 5:

8: 5*100 =

(8*100): 5 =

800: 5 = 160

Now we have: 8 is what percent of 5 = 160

Question: 8 is what percent of 5?

Percentage solution with steps:

Step 1: We make the assumption that 5 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\%}={ 5}.

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

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

{100\%}={ 5}(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{ 5}{8}

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

\frac{x\%}{100\%}=\frac{8}{ 5}

\Rightarrow{x} = {160\%}

Therefore, {8} is {160\%} of { 5}.