#### Solution for 45 is what percent of 10:

45: 10*100 =

(45*100): 10 =

4500: 10 = 450

Now we have: 45 is what percent of 10 = 450

Question: 45 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 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}.

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

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

{100\%}={ 10}(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{ 10}{45}

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

\frac{x\%}{100\%}=\frac{45}{ 10}

\Rightarrow{x} = {450\%}

Therefore, {45} is {450\%} of { 10}.

#### Solution for 10 is what percent of 45:

10:45*100 =

( 10*100):45 =

1000:45 = 22.22

Now we have: 10 is what percent of 45 = 22.22

Question: 10 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\%}={ 10}.

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

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

{x\%}={ 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{45}{ 10}

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

\frac{x\%}{100\%}=\frac{ 10}{45}

\Rightarrow{x} = {22.22\%}

Therefore, { 10} is {22.22\%} of {45}.

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