#### Solution for 106 is what percent of 475:

106:475*100 =

(106*100):475 =

10600:475 = 22.32

Now we have: 106 is what percent of 475 = 22.32

Question: 106 is what percent of 475?

Percentage solution with steps:

Step 1: We make the assumption that 475 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\%}={475}.

Step 4: In the same vein, {x\%}={106}.

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

{100\%}={475}(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{475}{106}

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

\frac{x\%}{100\%}=\frac{106}{475}

\Rightarrow{x} = {22.32\%}

Therefore, {106} is {22.32\%} of {475}.

#### Solution for 475 is what percent of 106:

475:106*100 =

(475*100):106 =

47500:106 = 448.11

Now we have: 475 is what percent of 106 = 448.11

Question: 475 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\%}={475}.

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

{100\%}={106}(1).

{x\%}={475}(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}{475}

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

\frac{x\%}{100\%}=\frac{475}{106}

\Rightarrow{x} = {448.11\%}

Therefore, {475} is {448.11\%} of {106}.

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