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Solution for 54.2 is what percent of 45:

54.2:45*100 =

(54.2*100):45 =

5420:45 = 120.44444444444

Now we have: 54.2 is what percent of 45 = 120.44444444444

Question: 54.2 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\%}={54.2}.

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

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

{x\%}={54.2}(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}{54.2}

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

\frac{x\%}{100\%}=\frac{54.2}{45}

\Rightarrow{x} = {120.44444444444\%}

Therefore, {54.2} is {120.44444444444\%} of {45}.

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Solution for 45 is what percent of 54.2:

45:54.2*100 =

(45*100):54.2 =

4500:54.2 = 83.025830258303

Now we have: 45 is what percent of 54.2 = 83.025830258303

Question: 45 is what percent of 54.2?

Percentage solution with steps:

Step 1: We make the assumption that 54.2 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\%}={54.2}.

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

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

{100\%}={54.2}(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{54.2}{45}

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

\frac{x\%}{100\%}=\frac{45}{54.2}

\Rightarrow{x} = {83.025830258303\%}

Therefore, {45} is {83.025830258303\%} of {54.2}.