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Solution for 130 is what percent of 40:

130:40*100 =

(130*100):40 =

13000:40 = 325

Now we have: 130 is what percent of 40 = 325

Question: 130 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={130}.

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

{100\%}={40}(1).

{x\%}={130}(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{40}{130}

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

\frac{x\%}{100\%}=\frac{130}{40}

\Rightarrow{x} = {325\%}

Therefore, {130} is {325\%} of {40}.

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Solution for 40 is what percent of 130:

40:130*100 =

(40*100):130 =

4000:130 = 30.77

Now we have: 40 is what percent of 130 = 30.77

Question: 40 is what percent of 130?

Percentage solution with steps:

Step 1: We make the assumption that 130 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\%}={130}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={130}(1).

{x\%}={40}(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{130}{40}

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

\frac{x\%}{100\%}=\frac{40}{130}

\Rightarrow{x} = {30.77\%}

Therefore, {40} is {30.77\%} of {130}.