#### Solution for 106 is what percent of 117:

106:117*100 =

(106*100):117 =

10600:117 = 90.6

Now we have: 106 is what percent of 117 = 90.6

Question: 106 is what percent of 117?

Percentage solution with steps:

Step 1: We make the assumption that 117 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\%}={117}.

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

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

{100\%}={117}(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{117}{106}

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

\frac{x\%}{100\%}=\frac{106}{117}

\Rightarrow{x} = {90.6\%}

Therefore, {106} is {90.6\%} of {117}.

#### Solution for 117 is what percent of 106:

117:106*100 =

(117*100):106 =

11700:106 = 110.38

Now we have: 117 is what percent of 106 = 110.38

Question: 117 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\%}={117}.

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

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

{x\%}={117}(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}{117}

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

\frac{x\%}{100\%}=\frac{117}{106}

\Rightarrow{x} = {110.38\%}

Therefore, {117} is {110.38\%} of {106}.

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