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Solution for 164 is what percent of 119:

164:119*100 =

(164*100):119 =

16400:119 = 137.82

Now we have: 164 is what percent of 119 = 137.82

Question: 164 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\%}={164}.

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

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

{x\%}={164}(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}{164}

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

\frac{x\%}{100\%}=\frac{164}{119}

\Rightarrow{x} = {137.82\%}

Therefore, {164} is {137.82\%} of {119}.

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Solution for 119 is what percent of 164:

119:164*100 =

(119*100):164 =

11900:164 = 72.56

Now we have: 119 is what percent of 164 = 72.56

Question: 119 is what percent of 164?

Percentage solution with steps:

Step 1: We make the assumption that 164 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\%}={164}.

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

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

{100\%}={164}(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{164}{119}

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

\frac{x\%}{100\%}=\frac{119}{164}

\Rightarrow{x} = {72.56\%}

Therefore, {119} is {72.56\%} of {164}.