#### Solution for 0.1 is what percent of 9.8:

0.1:9.8*100 =

(0.1*100):9.8 =

10:9.8 = 1.0204081632653

Now we have: 0.1 is what percent of 9.8 = 1.0204081632653

Question: 0.1 is what percent of 9.8?

Percentage solution with steps:

Step 1: We make the assumption that 9.8 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\%}={9.8}.

Step 4: In the same vein, {x\%}={0.1}.

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

{100\%}={9.8}(1).

{x\%}={0.1}(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{9.8}{0.1}

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

\frac{x\%}{100\%}=\frac{0.1}{9.8}

\Rightarrow{x} = {1.0204081632653\%}

Therefore, {0.1} is {1.0204081632653\%} of {9.8}.

#### Solution for 9.8 is what percent of 0.1:

9.8:0.1*100 =

(9.8*100):0.1 =

980:0.1 = 9800

Now we have: 9.8 is what percent of 0.1 = 9800

Question: 9.8 is what percent of 0.1?

Percentage solution with steps:

Step 1: We make the assumption that 0.1 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\%}={0.1}.

Step 4: In the same vein, {x\%}={9.8}.

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

{100\%}={0.1}(1).

{x\%}={9.8}(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{0.1}{9.8}

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

\frac{x\%}{100\%}=\frac{9.8}{0.1}

\Rightarrow{x} = {9800\%}

Therefore, {9.8} is {9800\%} of {0.1}.

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