#### Solution for 771 is what percent of 900:

771:900*100 =

(771*100):900 =

77100:900 = 85.67

Now we have: 771 is what percent of 900 = 85.67

Question: 771 is what percent of 900?

Percentage solution with steps:

Step 1: We make the assumption that 900 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\%}={900}.

Step 4: In the same vein, {x\%}={771}.

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

{100\%}={900}(1).

{x\%}={771}(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{900}{771}

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

\frac{x\%}{100\%}=\frac{771}{900}

\Rightarrow{x} = {85.67\%}

Therefore, {771} is {85.67\%} of {900}.

#### Solution for 900 is what percent of 771:

900:771*100 =

(900*100):771 =

90000:771 = 116.73

Now we have: 900 is what percent of 771 = 116.73

Question: 900 is what percent of 771?

Percentage solution with steps:

Step 1: We make the assumption that 771 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\%}={771}.

Step 4: In the same vein, {x\%}={900}.

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

{100\%}={771}(1).

{x\%}={900}(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{771}{900}

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

\frac{x\%}{100\%}=\frac{900}{771}

\Rightarrow{x} = {116.73\%}

Therefore, {900} is {116.73\%} of {771}.

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