#### Solution for 217 is what percent of 333:

217:333*100 =

(217*100):333 =

21700:333 = 65.17

Now we have: 217 is what percent of 333 = 65.17

Question: 217 is what percent of 333?

Percentage solution with steps:

Step 1: We make the assumption that 333 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\%}={333}.

Step 4: In the same vein, {x\%}={217}.

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

{100\%}={333}(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{333}{217}

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

\frac{x\%}{100\%}=\frac{217}{333}

\Rightarrow{x} = {65.17\%}

Therefore, {217} is {65.17\%} of {333}.

#### Solution for 333 is what percent of 217:

333:217*100 =

(333*100):217 =

33300:217 = 153.46

Now we have: 333 is what percent of 217 = 153.46

Question: 333 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\%}={333}.

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

{100\%}={217}(1).

{x\%}={333}(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}{333}

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

\frac{x\%}{100\%}=\frac{333}{217}

\Rightarrow{x} = {153.46\%}

Therefore, {333} is {153.46\%} of {217}.

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