#### Solution for 500 is what percent of 210:

500:210*100 =

(500*100):210 =

50000:210 = 238.1

Now we have: 500 is what percent of 210 = 238.1

Question: 500 is what percent of 210?

Percentage solution with steps:

Step 1: We make the assumption that 210 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\%}={210}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={210}(1).

{x\%}={500}(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{210}{500}

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

\frac{x\%}{100\%}=\frac{500}{210}

\Rightarrow{x} = {238.1\%}

Therefore, {500} is {238.1\%} of {210}.

#### Solution for 210 is what percent of 500:

210:500*100 =

(210*100):500 =

21000:500 = 42

Now we have: 210 is what percent of 500 = 42

Question: 210 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

Step 4: In the same vein, {x\%}={210}.

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

{100\%}={500}(1).

{x\%}={210}(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{500}{210}

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

\frac{x\%}{100\%}=\frac{210}{500}

\Rightarrow{x} = {42\%}

Therefore, {210} is {42\%} of {500}.

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