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Solution for 16.625 is what percent of 42:

16.625:42*100 =

(16.625*100):42 =

1662.5:42 = 39.583333333333

Now we have: 16.625 is what percent of 42 = 39.583333333333

Question: 16.625 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\%}={16.625}.

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

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

{x\%}={16.625}(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}{16.625}

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

\frac{x\%}{100\%}=\frac{16.625}{42}

\Rightarrow{x} = {39.583333333333\%}

Therefore, {16.625} is {39.583333333333\%} of {42}.

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Solution for 42 is what percent of 16.625:

42:16.625*100 =

(42*100):16.625 =

4200:16.625 = 252.63157894737

Now we have: 42 is what percent of 16.625 = 252.63157894737

Question: 42 is what percent of 16.625?

Percentage solution with steps:

Step 1: We make the assumption that 16.625 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\%}={16.625}.

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

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

{100\%}={16.625}(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{16.625}{42}

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

\frac{x\%}{100\%}=\frac{42}{16.625}

\Rightarrow{x} = {252.63157894737\%}

Therefore, {42} is {252.63157894737\%} of {16.625}.