#### Solution for 223 is what percent of 318:

223:318*100 =

(223*100):318 =

22300:318 = 70.13

Now we have: 223 is what percent of 318 = 70.13

Question: 223 is what percent of 318?

Percentage solution with steps:

Step 1: We make the assumption that 318 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\%}={318}.

Step 4: In the same vein, {x\%}={223}.

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

{100\%}={318}(1).

{x\%}={223}(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{318}{223}

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

\frac{x\%}{100\%}=\frac{223}{318}

\Rightarrow{x} = {70.13\%}

Therefore, {223} is {70.13\%} of {318}.

#### Solution for 318 is what percent of 223:

318:223*100 =

(318*100):223 =

31800:223 = 142.6

Now we have: 318 is what percent of 223 = 142.6

Question: 318 is what percent of 223?

Percentage solution with steps:

Step 1: We make the assumption that 223 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\%}={223}.

Step 4: In the same vein, {x\%}={318}.

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

{100\%}={223}(1).

{x\%}={318}(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{223}{318}

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

\frac{x\%}{100\%}=\frac{318}{223}

\Rightarrow{x} = {142.6\%}

Therefore, {318} is {142.6\%} of {223}.

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