#### Solution for 103 is what percent of 559:

103:559*100 =

(103*100):559 =

10300:559 = 18.43

Now we have: 103 is what percent of 559 = 18.43

Question: 103 is what percent of 559?

Percentage solution with steps:

Step 1: We make the assumption that 559 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\%}={559}.

Step 4: In the same vein, {x\%}={103}.

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

{100\%}={559}(1).

{x\%}={103}(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{559}{103}

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

\frac{x\%}{100\%}=\frac{103}{559}

\Rightarrow{x} = {18.43\%}

Therefore, {103} is {18.43\%} of {559}.

#### Solution for 559 is what percent of 103:

559:103*100 =

(559*100):103 =

55900:103 = 542.72

Now we have: 559 is what percent of 103 = 542.72

Question: 559 is what percent of 103?

Percentage solution with steps:

Step 1: We make the assumption that 103 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\%}={103}.

Step 4: In the same vein, {x\%}={559}.

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

{100\%}={103}(1).

{x\%}={559}(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{103}{559}

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

\frac{x\%}{100\%}=\frac{559}{103}

\Rightarrow{x} = {542.72\%}

Therefore, {559} is {542.72\%} of {103}.

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