#### Solution for 850 is what percent of 1200:

850: 1200*100 =

(850*100): 1200 =

85000: 1200 = 70.83

Now we have: 850 is what percent of 1200 = 70.83

Question: 850 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\%}={850}.

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

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

{x\%}={850}(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}{850}

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

\frac{x\%}{100\%}=\frac{850}{ 1200}

\Rightarrow{x} = {70.83\%}

Therefore, {850} is {70.83\%} of { 1200}.

#### Solution for 1200 is what percent of 850:

1200:850*100 =

( 1200*100):850 =

120000:850 = 141.18

Now we have: 1200 is what percent of 850 = 141.18

Question: 1200 is what percent of 850?

Percentage solution with steps:

Step 1: We make the assumption that 850 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\%}={850}.

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

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

{100\%}={850}(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{850}{ 1200}

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

\frac{x\%}{100\%}=\frac{ 1200}{850}

\Rightarrow{x} = {141.18\%}

Therefore, { 1200} is {141.18\%} of {850}.

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