#### Solution for 106 is what percent of 219:

106:219*100 =

(106*100):219 =

10600:219 = 48.4

Now we have: 106 is what percent of 219 = 48.4

Question: 106 is what percent of 219?

Percentage solution with steps:

Step 1: We make the assumption that 219 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\%}={219}.

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

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

{100\%}={219}(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{219}{106}

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

\frac{x\%}{100\%}=\frac{106}{219}

\Rightarrow{x} = {48.4\%}

Therefore, {106} is {48.4\%} of {219}.

#### Solution for 219 is what percent of 106:

219:106*100 =

(219*100):106 =

21900:106 = 206.6

Now we have: 219 is what percent of 106 = 206.6

Question: 219 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\%}={219}.

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

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

{x\%}={219}(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}{219}

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

\frac{x\%}{100\%}=\frac{219}{106}

\Rightarrow{x} = {206.6\%}

Therefore, {219} is {206.6\%} of {106}.

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