#### Solution for 706 is what percent of 851:

706:851*100 =

(706*100):851 =

70600:851 = 82.96

Now we have: 706 is what percent of 851 = 82.96

Question: 706 is what percent of 851?

Percentage solution with steps:

Step 1: We make the assumption that 851 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\%}={851}.

Step 4: In the same vein, {x\%}={706}.

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

{100\%}={851}(1).

{x\%}={706}(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{851}{706}

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

\frac{x\%}{100\%}=\frac{706}{851}

\Rightarrow{x} = {82.96\%}

Therefore, {706} is {82.96\%} of {851}.

#### Solution for 851 is what percent of 706:

851:706*100 =

(851*100):706 =

85100:706 = 120.54

Now we have: 851 is what percent of 706 = 120.54

Question: 851 is what percent of 706?

Percentage solution with steps:

Step 1: We make the assumption that 706 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\%}={706}.

Step 4: In the same vein, {x\%}={851}.

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

{100\%}={706}(1).

{x\%}={851}(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{706}{851}

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

\frac{x\%}{100\%}=\frac{851}{706}

\Rightarrow{x} = {120.54\%}

Therefore, {851} is {120.54\%} of {706}.

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