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Solution for 475 is what percent of 42:

475:42*100 =

(475*100):42 =

47500:42 = 1130.95

Now we have: 475 is what percent of 42 = 1130.95

Question: 475 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

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

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

{100\%}={42}(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{42}{475}

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

\frac{x\%}{100\%}=\frac{475}{42}

\Rightarrow{x} = {1130.95\%}

Therefore, {475} is {1130.95\%} of {42}.

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Solution for 42 is what percent of 475:

42:475*100 =

(42*100):475 =

4200:475 = 8.84

Now we have: 42 is what percent of 475 = 8.84

Question: 42 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\%}={42}.

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

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

{x\%}={42}(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}{42}

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

\frac{x\%}{100\%}=\frac{42}{475}

\Rightarrow{x} = {8.84\%}

Therefore, {42} is {8.84\%} of {475}.