#### Solution for 9.4 is what percent of 45:

9.4:45*100 =

(9.4*100):45 =

940:45 = 20.888888888889

Now we have: 9.4 is what percent of 45 = 20.888888888889

Question: 9.4 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\%}={9.4}.

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

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

{x\%}={9.4}(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}{9.4}

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

\frac{x\%}{100\%}=\frac{9.4}{45}

\Rightarrow{x} = {20.888888888889\%}

Therefore, {9.4} is {20.888888888889\%} of {45}.

#### Solution for 45 is what percent of 9.4:

45:9.4*100 =

(45*100):9.4 =

4500:9.4 = 478.72340425532

Now we have: 45 is what percent of 9.4 = 478.72340425532

Question: 45 is what percent of 9.4?

Percentage solution with steps:

Step 1: We make the assumption that 9.4 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\%}={9.4}.

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

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

{100\%}={9.4}(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{9.4}{45}

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

\frac{x\%}{100\%}=\frac{45}{9.4}

\Rightarrow{x} = {478.72340425532\%}

Therefore, {45} is {478.72340425532\%} of {9.4}.

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