#### Solution for 45 is what percent of 2250:

45: 2250*100 =

(45*100): 2250 =

4500: 2250 = 2

Now we have: 45 is what percent of 2250 = 2

Question: 45 is what percent of 2250?

Percentage solution with steps:

Step 1: We make the assumption that 2250 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\%}={ 2250}.

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

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

{100\%}={ 2250}(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{ 2250}{45}

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

\frac{x\%}{100\%}=\frac{45}{ 2250}

\Rightarrow{x} = {2\%}

Therefore, {45} is {2\%} of { 2250}.

#### Solution for 2250 is what percent of 45:

2250:45*100 =

( 2250*100):45 =

225000:45 = 5000

Now we have: 2250 is what percent of 45 = 5000

Question: 2250 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\%}={ 2250}.

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

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

{x\%}={ 2250}(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}{ 2250}

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

\frac{x\%}{100\%}=\frac{ 2250}{45}

\Rightarrow{x} = {5000\%}

Therefore, { 2250} is {5000\%} of {45}.

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