Percentage Calculator: 17.5 is what percent of 42? = 41.666666666667

Solution for 17.5 is what percent of 42:

17.5:42*100 =

(17.5*100):42 =

1750:42 = 41.666666666667

Now we have: 17.5 is what percent of 42 = 41.666666666667

Question: 17.5 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\%}={17.5}.

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

{100\%}={42}(1).

{x\%}={17.5}(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}{17.5}

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

\frac{x\%}{100\%}=\frac{17.5}{42}

\Rightarrow{x} = {41.666666666667\%}

Therefore, {17.5} is {41.666666666667\%} of {42}.

What Percent Of Table For 17.5

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Solution for 42 is what percent of 17.5:

42:17.5*100 =

(42*100):17.5 =

4200:17.5 = 240

Now we have: 42 is what percent of 17.5 = 240

Question: 42 is what percent of 17.5?

Percentage solution with steps:

Step 1: We make the assumption that 17.5 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\%}={17.5}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={17.5}(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{17.5}{42}

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

\frac{x\%}{100\%}=\frac{42}{17.5}

\Rightarrow{x} = {240\%}

Therefore, {42} is {240\%} of {17.5}.

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