#### Solution for 213 is what percent of 250:

213:250*100 =

(213*100):250 =

21300:250 = 85.2

Now we have: 213 is what percent of 250 = 85.2

Question: 213 is what percent of 250?

Percentage solution with steps:

Step 1: We make the assumption that 250 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\%}={250}.

Step 4: In the same vein, {x\%}={213}.

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

{100\%}={250}(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{250}{213}

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

\frac{x\%}{100\%}=\frac{213}{250}

\Rightarrow{x} = {85.2\%}

Therefore, {213} is {85.2\%} of {250}.

#### Solution for 250 is what percent of 213:

250:213*100 =

(250*100):213 =

25000:213 = 117.37

Now we have: 250 is what percent of 213 = 117.37

Question: 250 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\%}={250}.

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

{100\%}={213}(1).

{x\%}={250}(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}{250}

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

\frac{x\%}{100\%}=\frac{250}{213}

\Rightarrow{x} = {117.37\%}

Therefore, {250} is {117.37\%} of {213}.

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