#### Solution for 859 is what percent of 1200:

859:1200*100 =

(859*100):1200 =

85900:1200 = 71.58

Now we have: 859 is what percent of 1200 = 71.58

Question: 859 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\%}={859}.

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

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

{x\%}={859}(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}{859}

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

\frac{x\%}{100\%}=\frac{859}{1200}

\Rightarrow{x} = {71.58\%}

Therefore, {859} is {71.58\%} of {1200}.

#### Solution for 1200 is what percent of 859:

1200:859*100 =

(1200*100):859 =

120000:859 = 139.7

Now we have: 1200 is what percent of 859 = 139.7

Question: 1200 is what percent of 859?

Percentage solution with steps:

Step 1: We make the assumption that 859 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\%}={859}.

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

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

{100\%}={859}(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{859}{1200}

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

\frac{x\%}{100\%}=\frac{1200}{859}

\Rightarrow{x} = {139.7\%}

Therefore, {1200} is {139.7\%} of {859}.

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