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Solution for 218 is what percent of 40:

218:40*100 =

(218*100):40 =

21800:40 = 545

Now we have: 218 is what percent of 40 = 545

Question: 218 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={218}.

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

{100\%}={40}(1).

{x\%}={218}(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{40}{218}

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

\frac{x\%}{100\%}=\frac{218}{40}

\Rightarrow{x} = {545\%}

Therefore, {218} is {545\%} of {40}.

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Solution for 40 is what percent of 218:

40:218*100 =

(40*100):218 =

4000:218 = 18.35

Now we have: 40 is what percent of 218 = 18.35

Question: 40 is what percent of 218?

Percentage solution with steps:

Step 1: We make the assumption that 218 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\%}={218}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={218}(1).

{x\%}={40}(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{218}{40}

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

\frac{x\%}{100\%}=\frac{40}{218}

\Rightarrow{x} = {18.35\%}

Therefore, {40} is {18.35\%} of {218}.