Percentage Calculator: 10 is what percent of 96? = 10.42

Solution for 10 is what percent of 96:

10:96*100 =

(10*100):96 =

1000:96 = 10.42

Now we have: 10 is what percent of 96 = 10.42

Question: 10 is what percent of 96?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={96}.

Step 4: In the same vein, {x\%}={10}.

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

{100\%}={96}(1).

{x\%}={10}(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{96}{10}

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

\frac{x\%}{100\%}=\frac{10}{96}

\Rightarrow{x} = {10.42\%}

Therefore, {10} is {10.42\%} of {96}.

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Solution for 96 is what percent of 10:

96:10*100 =

(96*100):10 =

9600:10 = 960

Now we have: 96 is what percent of 10 = 960

Question: 96 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={10}.

Step 4: In the same vein, {x\%}={96}.

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

{100\%}={10}(1).

{x\%}={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{10}{96}

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

\frac{x\%}{100\%}=\frac{96}{10}

\Rightarrow{x} = {960\%}

Therefore, {96} is {960\%} of {10}.

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