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Solution for 218 is what percent of 45:

218:45*100 =

( 218*100):45 =

21800:45 = 484.44

Now we have: 218 is what percent of 45 = 484.44

Question: 218 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\%}={ 218}.

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

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

{x\%}={ 218}(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}{ 218}

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

\frac{x\%}{100\%}=\frac{ 218}{45}

\Rightarrow{x} = {484.44\%}

Therefore, { 218} is {484.44\%} of {45}.

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Solution for 45 is what percent of 218:

45: 218*100 =

(45*100): 218 =

4500: 218 = 20.64

Now we have: 45 is what percent of 218 = 20.64

Question: 45 is what percent of 218?

Percentage solution with steps:

Step 1: We make the assumption that 218 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\%}={ 218}.

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

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

{100\%}={ 218}(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{ 218}{45}

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

\frac{x\%}{100\%}=\frac{45}{ 218}

\Rightarrow{x} = {20.64\%}

Therefore, {45} is {20.64\%} of { 218}.