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Solution for 106.5 is what percent of 45:

106.5:45*100 =

(106.5*100):45 =

10650:45 = 236.66666666667

Now we have: 106.5 is what percent of 45 = 236.66666666667

Question: 106.5 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\%}={106.5}.

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

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

{x\%}={106.5}(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}{106.5}

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

\frac{x\%}{100\%}=\frac{106.5}{45}

\Rightarrow{x} = {236.66666666667\%}

Therefore, {106.5} is {236.66666666667\%} of {45}.

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• 106.5 is what percent of 100 = 106.5

Solution for 45 is what percent of 106.5:

45:106.5*100 =

(45*100):106.5 =

4500:106.5 = 42.253521126761

Now we have: 45 is what percent of 106.5 = 42.253521126761

Question: 45 is what percent of 106.5?

Percentage solution with steps:

Step 1: We make the assumption that 106.5 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\%}={106.5}.

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

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

{100\%}={106.5}(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{106.5}{45}

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

\frac{x\%}{100\%}=\frac{45}{106.5}

\Rightarrow{x} = {42.253521126761\%}

Therefore, {45} is {42.253521126761\%} of {106.5}.