#### Solution for 21.7 is what percent of 45:

21.7:45*100 =

(21.7*100):45 =

2170:45 = 48.222222222222

Now we have: 21.7 is what percent of 45 = 48.222222222222

Question: 21.7 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\%}={21.7}.

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

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

{x\%}={21.7}(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}{21.7}

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

\frac{x\%}{100\%}=\frac{21.7}{45}

\Rightarrow{x} = {48.222222222222\%}

Therefore, {21.7} is {48.222222222222\%} of {45}.

#### Solution for 45 is what percent of 21.7:

45:21.7*100 =

(45*100):21.7 =

4500:21.7 = 207.3732718894

Now we have: 45 is what percent of 21.7 = 207.3732718894

Question: 45 is what percent of 21.7?

Percentage solution with steps:

Step 1: We make the assumption that 21.7 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\%}={21.7}.

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

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

{100\%}={21.7}(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{21.7}{45}

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

\frac{x\%}{100\%}=\frac{45}{21.7}

\Rightarrow{x} = {207.3732718894\%}

Therefore, {45} is {207.3732718894\%} of {21.7}.

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