#### Solution for 9000 is what percent of 7500:

9000:7500*100 =

(9000*100):7500 =

900000:7500 = 120

Now we have: 9000 is what percent of 7500 = 120

Question: 9000 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\%}={9000}.

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

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

{x\%}={9000}(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}{9000}

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

\frac{x\%}{100\%}=\frac{9000}{7500}

\Rightarrow{x} = {120\%}

Therefore, {9000} is {120\%} of {7500}.

#### Solution for 7500 is what percent of 9000:

7500:9000*100 =

(7500*100):9000 =

750000:9000 = 83.33

Now we have: 7500 is what percent of 9000 = 83.33

Question: 7500 is what percent of 9000?

Percentage solution with steps:

Step 1: We make the assumption that 9000 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\%}={9000}.

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

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

{100\%}={9000}(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{9000}{7500}

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

\frac{x\%}{100\%}=\frac{7500}{9000}

\Rightarrow{x} = {83.33\%}

Therefore, {7500} is {83.33\%} of {9000}.

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