#### Solution for 119 is what percent of 101:

119:101*100 =

(119*100):101 =

11900:101 = 117.82

Now we have: 119 is what percent of 101 = 117.82

Question: 119 is what percent of 101?

Percentage solution with steps:

Step 1: We make the assumption that 101 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\%}={101}.

Step 4: In the same vein, {x\%}={119}.

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

{100\%}={101}(1).

{x\%}={119}(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{101}{119}

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

\frac{x\%}{100\%}=\frac{119}{101}

\Rightarrow{x} = {117.82\%}

Therefore, {119} is {117.82\%} of {101}.

#### Solution for 101 is what percent of 119:

101:119*100 =

(101*100):119 =

10100:119 = 84.87

Now we have: 101 is what percent of 119 = 84.87

Question: 101 is what percent of 119?

Percentage solution with steps:

Step 1: We make the assumption that 119 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\%}={119}.

Step 4: In the same vein, {x\%}={101}.

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

{100\%}={119}(1).

{x\%}={101}(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{119}{101}

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

\frac{x\%}{100\%}=\frac{101}{119}

\Rightarrow{x} = {84.87\%}

Therefore, {101} is {84.87\%} of {119}.

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