#### Solution for 8 is what percent of 10:

8:10*100 =

( 8*100):10 =

800:10 = 80

Now we have: 8 is what percent of 10 = 80

Question: 8 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={10}.

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

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

{100\%}={10}(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{10}{ 8}

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

\frac{x\%}{100\%}=\frac{ 8}{10}

\Rightarrow{x} = {80\%}

Therefore, { 8} is {80\%} of {10}.

#### Solution for 10 is what percent of 8:

10: 8*100 =

(10*100): 8 =

1000: 8 = 125

Now we have: 10 is what percent of 8 = 125

Question: 10 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\%}={10}.

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

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

{x\%}={10}(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}{10}

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

\frac{x\%}{100\%}=\frac{10}{ 8}

\Rightarrow{x} = {125\%}

Therefore, {10} is {125\%} of { 8}.

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