# Percentage Calculator

### 77 is what percent of 850?

#### Solution for 77 is what percent of 850:

77:850*100 =

(77*100):850 =

7700:850 = 9.06

**Now we have: 77 is what percent of 850 = 9.06**

**Question: 77 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\%}={77}.

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

{100\%}={850}(1).

{x\%}={77}(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}{77}

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

\frac{x\%}{100\%}=\frac{77}{850}

\Rightarrow{x} = {9.06\%}

Therefore, {77} is {9.06\%} of {850}.

#### Solution for 850 is what percent of 77:

850:77*100 =

(850*100):77 =

85000:77 = 1103.9

**Now we have: 850 is what percent of 77 = 1103.9**

**Question: 850 is what percent of 77?**

Percentage solution with steps:

Step 1: We make the assumption that 77 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\%}={77}.

Step 4: In the same vein, {x\%}={850}.

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

{100\%}={77}(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{77}{850}

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

\frac{x\%}{100\%}=\frac{850}{77}

\Rightarrow{x} = {1103.9\%}

Therefore, {850} is {1103.9\%} of {77}.

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