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Solution for 260 is what percent of 45:

260:45*100 =

(260*100):45 =

26000:45 = 577.78

Now we have: 260 is what percent of 45 = 577.78

Question: 260 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\%}={260}.

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

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

{x\%}={260}(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}{260}

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

\frac{x\%}{100\%}=\frac{260}{45}

\Rightarrow{x} = {577.78\%}

Therefore, {260} is {577.78\%} of {45}.

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Solution for 45 is what percent of 260:

45:260*100 =

(45*100):260 =

4500:260 = 17.31

Now we have: 45 is what percent of 260 = 17.31

Question: 45 is what percent of 260?

Percentage solution with steps:

Step 1: We make the assumption that 260 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\%}={260}.

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

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

{100\%}={260}(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{260}{45}

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

\frac{x\%}{100\%}=\frac{45}{260}

\Rightarrow{x} = {17.31\%}

Therefore, {45} is {17.31\%} of {260}.