#### Solution for 10.10 is what percent of 9.89:

10.10:9.89*100 =

(10.10*100):9.89 =

1010:9.89 = 102.12335692619

Now we have: 10.10 is what percent of 9.89 = 102.12335692619

Question: 10.10 is what percent of 9.89?

Percentage solution with steps:

Step 1: We make the assumption that 9.89 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\%}={9.89}.

Step 4: In the same vein, {x\%}={10.10}.

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

{100\%}={9.89}(1).

{x\%}={10.10}(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{9.89}{10.10}

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

\frac{x\%}{100\%}=\frac{10.10}{9.89}

\Rightarrow{x} = {102.12335692619\%}

Therefore, {10.10} is {102.12335692619\%} of {9.89}.

#### Solution for 9.89 is what percent of 10.10:

9.89:10.10*100 =

(9.89*100):10.10 =

989:10.10 = 97.920792079208

Now we have: 9.89 is what percent of 10.10 = 97.920792079208

Question: 9.89 is what percent of 10.10?

Percentage solution with steps:

Step 1: We make the assumption that 10.10 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\%}={10.10}.

Step 4: In the same vein, {x\%}={9.89}.

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

{100\%}={10.10}(1).

{x\%}={9.89}(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{10.10}{9.89}

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

\frac{x\%}{100\%}=\frac{9.89}{10.10}

\Rightarrow{x} = {97.920792079208\%}

Therefore, {9.89} is {97.920792079208\%} of {10.10}.

Calculation Samples