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Solution for 105.5 is what percent of 45:

105.5:45*100 =

(105.5*100):45 =

10550:45 = 234.44444444444

Now we have: 105.5 is what percent of 45 = 234.44444444444

Question: 105.5 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\%}={105.5}.

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

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

{x\%}={105.5}(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}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{45}

\Rightarrow{x} = {234.44444444444\%}

Therefore, {105.5} is {234.44444444444\%} of {45}.

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Solution for 45 is what percent of 105.5:

45:105.5*100 =

(45*100):105.5 =

4500:105.5 = 42.654028436019

Now we have: 45 is what percent of 105.5 = 42.654028436019

Question: 45 is what percent of 105.5?

Percentage solution with steps:

Step 1: We make the assumption that 105.5 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\%}={105.5}.

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

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

{100\%}={105.5}(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{105.5}{45}

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

\frac{x\%}{100\%}=\frac{45}{105.5}

\Rightarrow{x} = {42.654028436019\%}

Therefore, {45} is {42.654028436019\%} of {105.5}.