#### Solution for 266 is what percent of 475:

266:475*100 =

(266*100):475 =

26600:475 = 56

Now we have: 266 is what percent of 475 = 56

Question: 266 is what percent of 475?

Percentage solution with steps:

Step 1: We make the assumption that 475 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\%}={475}.

Step 4: In the same vein, {x\%}={266}.

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

{100\%}={475}(1).

{x\%}={266}(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{475}{266}

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

\frac{x\%}{100\%}=\frac{266}{475}

\Rightarrow{x} = {56\%}

Therefore, {266} is {56\%} of {475}.

#### Solution for 475 is what percent of 266:

475:266*100 =

(475*100):266 =

47500:266 = 178.57

Now we have: 475 is what percent of 266 = 178.57

Question: 475 is what percent of 266?

Percentage solution with steps:

Step 1: We make the assumption that 266 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\%}={266}.

Step 4: In the same vein, {x\%}={475}.

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

{100\%}={266}(1).

{x\%}={475}(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{266}{475}

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

\frac{x\%}{100\%}=\frac{475}{266}

\Rightarrow{x} = {178.57\%}

Therefore, {475} is {178.57\%} of {266}.

Calculation Samples