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Solution for 119 is what percent of 120:

119:120*100 =

(119*100):120 =

11900:120 = 99.17

Now we have: 119 is what percent of 120 = 99.17

Question: 119 is what percent of 120?

Percentage solution with steps:

Step 1: We make the assumption that 120 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\%}={120}.

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

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

{100\%}={120}(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{120}{119}

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

\frac{x\%}{100\%}=\frac{119}{120}

\Rightarrow{x} = {99.17\%}

Therefore, {119} is {99.17\%} of {120}.

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Solution for 120 is what percent of 119:

120:119*100 =

(120*100):119 =

12000:119 = 100.84

Now we have: 120 is what percent of 119 = 100.84

Question: 120 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\%}={120}.

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

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

{x\%}={120}(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}{120}

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

\frac{x\%}{100\%}=\frac{120}{119}

\Rightarrow{x} = {100.84\%}

Therefore, {120} is {100.84\%} of {119}.