#### Solution for 103 is what percent of 217:

103:217*100 =

(103*100):217 =

10300:217 = 47.47

Now we have: 103 is what percent of 217 = 47.47

Question: 103 is what percent of 217?

Percentage solution with steps:

Step 1: We make the assumption that 217 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\%}={217}.

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

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

{100\%}={217}(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{217}{103}

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

\frac{x\%}{100\%}=\frac{103}{217}

\Rightarrow{x} = {47.47\%}

Therefore, {103} is {47.47\%} of {217}.

#### Solution for 217 is what percent of 103:

217:103*100 =

(217*100):103 =

21700:103 = 210.68

Now we have: 217 is what percent of 103 = 210.68

Question: 217 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\%}={217}.

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

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

{x\%}={217}(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}{217}

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

\frac{x\%}{100\%}=\frac{217}{103}

\Rightarrow{x} = {210.68\%}

Therefore, {217} is {210.68\%} of {103}.

Calculation Samples