#### Solution for 5.500 is what percent of 77.000:

5.500:77.000*100 =

(5.500*100):77.000 =

550:77.000 = 7.1428571428571

Now we have: 5.500 is what percent of 77.000 = 7.1428571428571

Question: 5.500 is what percent of 77.000?

Percentage solution with steps:

Step 1: We make the assumption that 77.000 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\%}={77.000}.

Step 4: In the same vein, {x\%}={5.500}.

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

{100\%}={77.000}(1).

{x\%}={5.500}(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{77.000}{5.500}

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

\frac{x\%}{100\%}=\frac{5.500}{77.000}

\Rightarrow{x} = {7.1428571428571\%}

Therefore, {5.500} is {7.1428571428571\%} of {77.000}.

#### Solution for 77.000 is what percent of 5.500:

77.000:5.500*100 =

(77.000*100):5.500 =

7700:5.500 = 1400

Now we have: 77.000 is what percent of 5.500 = 1400

Question: 77.000 is what percent of 5.500?

Percentage solution with steps:

Step 1: We make the assumption that 5.500 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\%}={5.500}.

Step 4: In the same vein, {x\%}={77.000}.

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

{100\%}={5.500}(1).

{x\%}={77.000}(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{5.500}{77.000}

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

\frac{x\%}{100\%}=\frac{77.000}{5.500}

\Rightarrow{x} = {1400\%}

Therefore, {77.000} is {1400\%} of {5.500}.

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