#### Solution for 10 is what percent of 147:

10:147*100 =

(10*100):147 =

1000:147 = 6.8

Now we have: 10 is what percent of 147 = 6.8

Question: 10 is what percent of 147?

Percentage solution with steps:

Step 1: We make the assumption that 147 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\%}={147}.

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

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

{100\%}={147}(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{147}{10}

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

\frac{x\%}{100\%}=\frac{10}{147}

\Rightarrow{x} = {6.8\%}

Therefore, {10} is {6.8\%} of {147}.

#### Solution for 147 is what percent of 10:

147:10*100 =

(147*100):10 =

14700:10 = 1470

Now we have: 147 is what percent of 10 = 1470

Question: 147 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\%}={147}.

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

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

{x\%}={147}(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}{147}

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

\frac{x\%}{100\%}=\frac{147}{10}

\Rightarrow{x} = {1470\%}

Therefore, {147} is {1470\%} of {10}.

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