#### Solution for 1200 is what percent of 742:

1200:742*100 =

(1200*100):742 =

120000:742 = 161.73

Now we have: 1200 is what percent of 742 = 161.73

Question: 1200 is what percent of 742?

Percentage solution with steps:

Step 1: We make the assumption that 742 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\%}={742}.

Step 4: In the same vein, {x\%}={1200}.

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

{100\%}={742}(1).

{x\%}={1200}(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{742}{1200}

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

\frac{x\%}{100\%}=\frac{1200}{742}

\Rightarrow{x} = {161.73\%}

Therefore, {1200} is {161.73\%} of {742}.

#### Solution for 742 is what percent of 1200:

742:1200*100 =

(742*100):1200 =

74200:1200 = 61.83

Now we have: 742 is what percent of 1200 = 61.83

Question: 742 is what percent of 1200?

Percentage solution with steps:

Step 1: We make the assumption that 1200 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\%}={1200}.

Step 4: In the same vein, {x\%}={742}.

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

{100\%}={1200}(1).

{x\%}={742}(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{1200}{742}

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

\frac{x\%}{100\%}=\frac{742}{1200}

\Rightarrow{x} = {61.83\%}

Therefore, {742} is {61.83\%} of {1200}.

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