#### Solution for 7.14 is what percent of 10.2:

7.14:10.2*100 =

(7.14*100):10.2 =

714:10.2 = 70

Now we have: 7.14 is what percent of 10.2 = 70

Question: 7.14 is what percent of 10.2?

Percentage solution with steps:

Step 1: We make the assumption that 10.2 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\%}={10.2}.

Step 4: In the same vein, {x\%}={7.14}.

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

{100\%}={10.2}(1).

{x\%}={7.14}(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{10.2}{7.14}

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

\frac{x\%}{100\%}=\frac{7.14}{10.2}

\Rightarrow{x} = {70\%}

Therefore, {7.14} is {70\%} of {10.2}.

#### Solution for 10.2 is what percent of 7.14:

10.2:7.14*100 =

(10.2*100):7.14 =

1020:7.14 = 142.85714285714

Now we have: 10.2 is what percent of 7.14 = 142.85714285714

Question: 10.2 is what percent of 7.14?

Percentage solution with steps:

Step 1: We make the assumption that 7.14 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\%}={7.14}.

Step 4: In the same vein, {x\%}={10.2}.

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

{100\%}={7.14}(1).

{x\%}={10.2}(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{7.14}{10.2}

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

\frac{x\%}{100\%}=\frac{10.2}{7.14}

\Rightarrow{x} = {142.85714285714\%}

Therefore, {10.2} is {142.85714285714\%} of {7.14}.

Calculation Samples