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Solution for 125 is what percent of 208:

125:208*100 =

(125*100):208 =

12500:208 = 60.1

Now we have: 125 is what percent of 208 = 60.1

Question: 125 is what percent of 208?

Percentage solution with steps:

Step 1: We make the assumption that 208 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\%}={208}.

Step 4: In the same vein, {x\%}={125}.

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

{100\%}={208}(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{208}{125}

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

\frac{x\%}{100\%}=\frac{125}{208}

\Rightarrow{x} = {60.1\%}

Therefore, {125} is {60.1\%} of {208}.

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Solution for 208 is what percent of 125:

208:125*100 =

(208*100):125 =

20800:125 = 166.4

Now we have: 208 is what percent of 125 = 166.4

Question: 208 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\%}={208}.

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

{100\%}={125}(1).

{x\%}={208}(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}{208}

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

\frac{x\%}{100\%}=\frac{208}{125}

\Rightarrow{x} = {166.4\%}

Therefore, {208} is {166.4\%} of {125}.