#### Solution for 7500 is what percent of 45.600:

7500:45.600*100 =

(7500*100):45.600 =

750000:45.600 = 16447.368421053

Now we have: 7500 is what percent of 45.600 = 16447.368421053

Question: 7500 is what percent of 45.600?

Percentage solution with steps:

Step 1: We make the assumption that 45.600 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\%}={45.600}.

Step 4: In the same vein, {x\%}={7500}.

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

{100\%}={45.600}(1).

{x\%}={7500}(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{45.600}{7500}

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

\frac{x\%}{100\%}=\frac{7500}{45.600}

\Rightarrow{x} = {16447.368421053\%}

Therefore, {7500} is {16447.368421053\%} of {45.600}.

#### Solution for 45.600 is what percent of 7500:

45.600:7500*100 =

(45.600*100):7500 =

4560:7500 = 0.608

Now we have: 45.600 is what percent of 7500 = 0.608

Question: 45.600 is what percent of 7500?

Percentage solution with steps:

Step 1: We make the assumption that 7500 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\%}={7500}.

Step 4: In the same vein, {x\%}={45.600}.

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

{100\%}={7500}(1).

{x\%}={45.600}(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{7500}{45.600}

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

\frac{x\%}{100\%}=\frac{45.600}{7500}

\Rightarrow{x} = {0.608\%}

Therefore, {45.600} is {0.608\%} of {7500}.

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