#### Solution for 1200 is what percent of 690:

1200:690*100 =

(1200*100):690 =

120000:690 = 173.91

Now we have: 1200 is what percent of 690 = 173.91

Question: 1200 is what percent of 690?

Percentage solution with steps:

Step 1: We make the assumption that 690 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\%}={690}.

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

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

{100\%}={690}(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{690}{1200}

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

\frac{x\%}{100\%}=\frac{1200}{690}

\Rightarrow{x} = {173.91\%}

Therefore, {1200} is {173.91\%} of {690}.

#### Solution for 690 is what percent of 1200:

690:1200*100 =

(690*100):1200 =

69000:1200 = 57.5

Now we have: 690 is what percent of 1200 = 57.5

Question: 690 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\%}={690}.

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

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

{x\%}={690}(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}{690}

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

\frac{x\%}{100\%}=\frac{690}{1200}

\Rightarrow{x} = {57.5\%}

Therefore, {690} is {57.5\%} of {1200}.

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