#### Solution for 5 is what percent of 45:

5:45*100 =

(5*100):45 =

500:45 = 11.11

Now we have: 5 is what percent of 45 = 11.11

Question: 5 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\%}={5}.

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

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

{x\%}={5}(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}{5}

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

\frac{x\%}{100\%}=\frac{5}{45}

\Rightarrow{x} = {11.11\%}

Therefore, {5} is {11.11\%} of {45}.

#### Solution for 45 is what percent of 5:

45:5*100 =

(45*100):5 =

4500:5 = 900

Now we have: 45 is what percent of 5 = 900

Question: 45 is what percent of 5?

Percentage solution with steps:

Step 1: We make the assumption that 5 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\%}={5}.

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

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

{100\%}={5}(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{5}{45}

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

\frac{x\%}{100\%}=\frac{45}{5}

\Rightarrow{x} = {900\%}

Therefore, {45} is {900\%} of {5}.

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