#### Solution for 9.9 is what percent of 45:

9.9:45*100 =

(9.9*100):45 =

990:45 = 22

Now we have: 9.9 is what percent of 45 = 22

Question: 9.9 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={9.9}.

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

{100\%}={45}(1).

{x\%}={9.9}(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{45}{9.9}

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

\frac{x\%}{100\%}=\frac{9.9}{45}

\Rightarrow{x} = {22\%}

Therefore, {9.9} is {22\%} of {45}.

#### Solution for 45 is what percent of 9.9:

45:9.9*100 =

(45*100):9.9 =

4500:9.9 = 454.54545454545

Now we have: 45 is what percent of 9.9 = 454.54545454545

Question: 45 is what percent of 9.9?

Percentage solution with steps:

Step 1: We make the assumption that 9.9 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\%}={9.9}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={9.9}(1).

{x\%}={45}(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{9.9}{45}

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

\frac{x\%}{100\%}=\frac{45}{9.9}

\Rightarrow{x} = {454.54545454545\%}

Therefore, {45} is {454.54545454545\%} of {9.9}.

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