#### Solution for 45 is what percent of 16.2:

45:16.2*100 =

(45*100):16.2 =

4500:16.2 = 277.77777777778

Now we have: 45 is what percent of 16.2 = 277.77777777778

Question: 45 is what percent of 16.2?

Percentage solution with steps:

Step 1: We make the assumption that 16.2 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\%}={16.2}.

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

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

{100\%}={16.2}(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{16.2}{45}

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

\frac{x\%}{100\%}=\frac{45}{16.2}

\Rightarrow{x} = {277.77777777778\%}

Therefore, {45} is {277.77777777778\%} of {16.2}.

#### Solution for 16.2 is what percent of 45:

16.2:45*100 =

(16.2*100):45 =

1620:45 = 36

Now we have: 16.2 is what percent of 45 = 36

Question: 16.2 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\%}={16.2}.

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

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

{x\%}={16.2}(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}{16.2}

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

\frac{x\%}{100\%}=\frac{16.2}{45}

\Rightarrow{x} = {36\%}

Therefore, {16.2} is {36\%} of {45}.

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