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Solution for .1 is what percent of 8:

.1:8*100 =

(.1*100):8 =

10:8 = 1.25

Now we have: .1 is what percent of 8 = 1.25

Question: .1 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\%}={.1}.

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

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

{x\%}={.1}(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}{.1}

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

\frac{x\%}{100\%}=\frac{.1}{8}

\Rightarrow{x} = {1.25\%}

Therefore, {.1} is {1.25\%} of {8}.

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• .1 is what percent of 8 = 1.25
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• .1 is what percent of 100 = 0.1

Solution for 8 is what percent of .1:

8:.1*100 =

(8*100):.1 =

800:.1 = 8000

Now we have: 8 is what percent of .1 = 8000

Question: 8 is what percent of .1?

Percentage solution with steps:

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

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

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

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

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

\frac{x\%}{100\%}=\frac{8}{.1}

\Rightarrow{x} = {8000\%}

Therefore, {8} is {8000\%} of {.1}.