#### Solution for 55 is what percent of 872:

55:872*100 =

(55*100):872 =

5500:872 = 6.31

Now we have: 55 is what percent of 872 = 6.31

Question: 55 is what percent of 872?

Percentage solution with steps:

Step 1: We make the assumption that 872 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\%}={872}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={872}(1).

{x\%}={55}(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{872}{55}

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

\frac{x\%}{100\%}=\frac{55}{872}

\Rightarrow{x} = {6.31\%}

Therefore, {55} is {6.31\%} of {872}.

#### Solution for 872 is what percent of 55:

872:55*100 =

(872*100):55 =

87200:55 = 1585.45

Now we have: 872 is what percent of 55 = 1585.45

Question: 872 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={872}.

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

{100\%}={55}(1).

{x\%}={872}(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{55}{872}

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

\frac{x\%}{100\%}=\frac{872}{55}

\Rightarrow{x} = {1585.45\%}

Therefore, {872} is {1585.45\%} of {55}.

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