#### Solution for 45 is what percent of 106:

45:106*100 =

(45*100):106 =

4500:106 = 42.45

Now we have: 45 is what percent of 106 = 42.45

Question: 45 is what percent of 106?

Percentage solution with steps:

Step 1: We make the assumption that 106 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}.

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

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

{100\%}={106}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{106}

\Rightarrow{x} = {42.45\%}

Therefore, {45} is {42.45\%} of {106}.

#### Solution for 106 is what percent of 45:

106:45*100 =

(106*100):45 =

10600:45 = 235.56

Now we have: 106 is what percent of 45 = 235.56

Question: 106 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}.

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

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

{x\%}={106}(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}

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

\frac{x\%}{100\%}=\frac{106}{45}

\Rightarrow{x} = {235.56\%}

Therefore, {106} is {235.56\%} of {45}.

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