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Solution for 216 is what percent of 45:

216:45*100 =

(216*100):45 =

21600:45 = 480

Now we have: 216 is what percent of 45 = 480

Question: 216 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\%}={216}.

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

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

{x\%}={216}(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}{216}

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

\frac{x\%}{100\%}=\frac{216}{45}

\Rightarrow{x} = {480\%}

Therefore, {216} is {480\%} of {45}.

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Solution for 45 is what percent of 216:

45:216*100 =

(45*100):216 =

4500:216 = 20.83

Now we have: 45 is what percent of 216 = 20.83

Question: 45 is what percent of 216?

Percentage solution with steps:

Step 1: We make the assumption that 216 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\%}={216}.

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

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

{100\%}={216}(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{216}{45}

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

\frac{x\%}{100\%}=\frac{45}{216}

\Rightarrow{x} = {20.83\%}

Therefore, {45} is {20.83\%} of {216}.