#### Solution for 114 is what percent of 10:

114:10*100 =

(114*100):10 =

11400:10 = 1140

Now we have: 114 is what percent of 10 = 1140

Question: 114 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\%}={114}.

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

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

{x\%}={114}(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}{114}

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

\frac{x\%}{100\%}=\frac{114}{10}

\Rightarrow{x} = {1140\%}

Therefore, {114} is {1140\%} of {10}.

#### Solution for 10 is what percent of 114:

10:114*100 =

(10*100):114 =

1000:114 = 8.77

Now we have: 10 is what percent of 114 = 8.77

Question: 10 is what percent of 114?

Percentage solution with steps:

Step 1: We make the assumption that 114 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\%}={114}.

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

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

{100\%}={114}(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{114}{10}

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

\frac{x\%}{100\%}=\frac{10}{114}

\Rightarrow{x} = {8.77\%}

Therefore, {10} is {8.77\%} of {114}.

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