#### Solution for .7 is what percent of 7.5:

.7:7.5*100 =

(.7*100):7.5 =

70:7.5 = 9.3333333333333

Now we have: .7 is what percent of 7.5 = 9.3333333333333

Question: .7 is what percent of 7.5?

Percentage solution with steps:

Step 1: We make the assumption that 7.5 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\%}={7.5}.

Step 4: In the same vein, {x\%}={.7}.

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

{100\%}={7.5}(1).

{x\%}={.7}(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{7.5}{.7}

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

\frac{x\%}{100\%}=\frac{.7}{7.5}

\Rightarrow{x} = {9.3333333333333\%}

Therefore, {.7} is {9.3333333333333\%} of {7.5}.

#### Solution for 7.5 is what percent of .7:

7.5:.7*100 =

(7.5*100):.7 =

750:.7 = 1071.4285714286

Now we have: 7.5 is what percent of .7 = 1071.4285714286

Question: 7.5 is what percent of .7?

Percentage solution with steps:

Step 1: We make the assumption that .7 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}.

Step 4: In the same vein, {x\%}={7.5}.

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

{100\%}={.7}(1).

{x\%}={7.5}(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}{7.5}

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

\frac{x\%}{100\%}=\frac{7.5}{.7}

\Rightarrow{x} = {1071.4285714286\%}

Therefore, {7.5} is {1071.4285714286\%} of {.7}.

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