Percentage Calculator: 8.25 is what percent of 42? = 19.642857142857

Solution for 8.25 is what percent of 42:

8.25:42*100 =

(8.25*100):42 =

825:42 = 19.642857142857

Now we have: 8.25 is what percent of 42 = 19.642857142857

Question: 8.25 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\%}={8.25}.

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

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

{x\%}={8.25}(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}{8.25}

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

\frac{x\%}{100\%}=\frac{8.25}{42}

\Rightarrow{x} = {19.642857142857\%}

Therefore, {8.25} is {19.642857142857\%} of {42}.

What Percent Of Table For 8.25

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Solution for 42 is what percent of 8.25:

42:8.25*100 =

(42*100):8.25 =

4200:8.25 = 509.09090909091

Now we have: 42 is what percent of 8.25 = 509.09090909091

Question: 42 is what percent of 8.25?

Percentage solution with steps:

Step 1: We make the assumption that 8.25 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\%}={8.25}.

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

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

{100\%}={8.25}(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{8.25}{42}

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

\frac{x\%}{100\%}=\frac{42}{8.25}

\Rightarrow{x} = {509.09090909091\%}

Therefore, {42} is {509.09090909091\%} of {8.25}.

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