#### Solution for 213 is what percent of 318:

213:318*100 =

(213*100):318 =

21300:318 = 66.98

Now we have: 213 is what percent of 318 = 66.98

Question: 213 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\%}={213}.

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

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

{x\%}={213}(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}{213}

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

\frac{x\%}{100\%}=\frac{213}{318}

\Rightarrow{x} = {66.98\%}

Therefore, {213} is {66.98\%} of {318}.

#### Solution for 318 is what percent of 213:

318:213*100 =

(318*100):213 =

31800:213 = 149.3

Now we have: 318 is what percent of 213 = 149.3

Question: 318 is what percent of 213?

Percentage solution with steps:

Step 1: We make the assumption that 213 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\%}={213}.

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

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

{100\%}={213}(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{213}{318}

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

\frac{x\%}{100\%}=\frac{318}{213}

\Rightarrow{x} = {149.3\%}

Therefore, {318} is {149.3\%} of {213}.

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