#### Solution for 5200 is what percent of 6000:

5200:6000*100 =

(5200*100):6000 =

520000:6000 = 86.67

Now we have: 5200 is what percent of 6000 = 86.67

Question: 5200 is what percent of 6000?

Percentage solution with steps:

Step 1: We make the assumption that 6000 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\%}={6000}.

Step 4: In the same vein, {x\%}={5200}.

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

{100\%}={6000}(1).

{x\%}={5200}(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{6000}{5200}

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

\frac{x\%}{100\%}=\frac{5200}{6000}

\Rightarrow{x} = {86.67\%}

Therefore, {5200} is {86.67\%} of {6000}.

#### Solution for 6000 is what percent of 5200:

6000:5200*100 =

(6000*100):5200 =

600000:5200 = 115.38

Now we have: 6000 is what percent of 5200 = 115.38

Question: 6000 is what percent of 5200?

Percentage solution with steps:

Step 1: We make the assumption that 5200 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\%}={5200}.

Step 4: In the same vein, {x\%}={6000}.

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

{100\%}={5200}(1).

{x\%}={6000}(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{5200}{6000}

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

\frac{x\%}{100\%}=\frac{6000}{5200}

\Rightarrow{x} = {115.38\%}

Therefore, {6000} is {115.38\%} of {5200}.

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