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Solution for 524 is what percent of 45:

524:45*100 =

(524*100):45 =

52400:45 = 1164.44

Now we have: 524 is what percent of 45 = 1164.44

Question: 524 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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}.

Step 4: In the same vein, {x\%}={524}.

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

{100\%}={45}(1).

{x\%}={524}(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}{524}

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

\frac{x\%}{100\%}=\frac{524}{45}

\Rightarrow{x} = {1164.44\%}

Therefore, {524} is {1164.44\%} of {45}.

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• 524 is what percent of 100 = 524

Solution for 45 is what percent of 524:

45:524*100 =

(45*100):524 =

4500:524 = 8.59

Now we have: 45 is what percent of 524 = 8.59

Question: 45 is what percent of 524?

Percentage solution with steps:

Step 1: We make the assumption that 524 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\%}={524}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={524}(1).

{x\%}={45}(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{524}{45}

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

\frac{x\%}{100\%}=\frac{45}{524}

\Rightarrow{x} = {8.59\%}

Therefore, {45} is {8.59\%} of {524}.