Percentage Calculator: 8.96 is what percent of 42? = 21.333333333333

Solution for 8.96 is what percent of 42:

8.96:42*100 =

(8.96*100):42 =

896:42 = 21.333333333333

Now we have: 8.96 is what percent of 42 = 21.333333333333

Question: 8.96 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\%}={8.96}.

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

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

{x\%}={8.96}(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}{8.96}

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

\frac{x\%}{100\%}=\frac{8.96}{42}

\Rightarrow{x} = {21.333333333333\%}

Therefore, {8.96} is {21.333333333333\%} of {42}.

What Percent Of Table For 8.96

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Solution for 42 is what percent of 8.96:

42:8.96*100 =

(42*100):8.96 =

4200:8.96 = 468.75

Now we have: 42 is what percent of 8.96 = 468.75

Question: 42 is what percent of 8.96?

Percentage solution with steps:

Step 1: We make the assumption that 8.96 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\%}={8.96}.

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

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

{100\%}={8.96}(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{8.96}{42}

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

\frac{x\%}{100\%}=\frac{42}{8.96}

\Rightarrow{x} = {468.75\%}

Therefore, {42} is {468.75\%} of {8.96}.

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