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Solution for 106 is what percent of 10:

106:10*100 =

(106*100):10 =

10600:10 = 1060

Now we have: 106 is what percent of 10 = 1060

Question: 106 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\%}={106}.

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

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

{x\%}={106}(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}{106}

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

\frac{x\%}{100\%}=\frac{106}{10}

\Rightarrow{x} = {1060\%}

Therefore, {106} is {1060\%} of {10}.

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Solution for 10 is what percent of 106:

10:106*100 =

(10*100):106 =

1000:106 = 9.43

Now we have: 10 is what percent of 106 = 9.43

Question: 10 is what percent of 106?

Percentage solution with steps:

Step 1: We make the assumption that 106 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\%}={106}.

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

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

{100\%}={106}(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{106}{10}

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

\frac{x\%}{100\%}=\frac{10}{106}

\Rightarrow{x} = {9.43\%}

Therefore, {10} is {9.43\%} of {106}.