#### Solution for 4700 is what percent of 5500:

4700:5500*100 =

(4700*100):5500 =

470000:5500 = 85.45

Now we have: 4700 is what percent of 5500 = 85.45

Question: 4700 is what percent of 5500?

Percentage solution with steps:

Step 1: We make the assumption that 5500 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\%}={5500}.

Step 4: In the same vein, {x\%}={4700}.

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

{100\%}={5500}(1).

{x\%}={4700}(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{5500}{4700}

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

\frac{x\%}{100\%}=\frac{4700}{5500}

\Rightarrow{x} = {85.45\%}

Therefore, {4700} is {85.45\%} of {5500}.

#### Solution for 5500 is what percent of 4700:

5500:4700*100 =

(5500*100):4700 =

550000:4700 = 117.02

Now we have: 5500 is what percent of 4700 = 117.02

Question: 5500 is what percent of 4700?

Percentage solution with steps:

Step 1: We make the assumption that 4700 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\%}={4700}.

Step 4: In the same vein, {x\%}={5500}.

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

{100\%}={4700}(1).

{x\%}={5500}(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{4700}{5500}

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

\frac{x\%}{100\%}=\frac{5500}{4700}

\Rightarrow{x} = {117.02\%}

Therefore, {5500} is {117.02\%} of {4700}.

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