Solution for 6 is what percent of 10:

6:10*100 =

( 6*100):10 =

600:10 = 60

Now we have: 6 is what percent of 10 = 60

Question: 6 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\%}={ 6}.

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

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

{x\%}={ 6}(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}{ 6}

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

\frac{x\%}{100\%}=\frac{ 6}{10}

\Rightarrow{x} = {60\%}

Therefore, { 6} is {60\%} of {10}.

Solution for 10 is what percent of 6:

10: 6*100 =

(10*100): 6 =

1000: 6 = 166.67

Now we have: 10 is what percent of 6 = 166.67

Question: 10 is what percent of 6?

Percentage solution with steps:

Step 1: We make the assumption that 6 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\%}={ 6}.

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

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

{100\%}={ 6}(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{ 6}{10}

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

\frac{x\%}{100\%}=\frac{10}{ 6}

\Rightarrow{x} = {166.67\%}

Therefore, {10} is {166.67\%} of { 6}.