#### Solution for 125 is what percent of 218:

125:218*100 =

(125*100):218 =

12500:218 = 57.34

Now we have: 125 is what percent of 218 = 57.34

Question: 125 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\%}={125}.

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

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

{x\%}={125}(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}{125}

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

\frac{x\%}{100\%}=\frac{125}{218}

\Rightarrow{x} = {57.34\%}

Therefore, {125} is {57.34\%} of {218}.

#### Solution for 218 is what percent of 125:

218:125*100 =

(218*100):125 =

21800:125 = 174.4

Now we have: 218 is what percent of 125 = 174.4

Question: 218 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 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\%}={125}.

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

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

{100\%}={125}(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{125}{218}

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

\frac{x\%}{100\%}=\frac{218}{125}

\Rightarrow{x} = {174.4\%}

Therefore, {218} is {174.4\%} of {125}.

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