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Solution for 260 is what percent of 420:

260:420*100 =

(260*100):420 =

26000:420 = 61.9

Now we have: 260 is what percent of 420 = 61.9

Question: 260 is what percent of 420?

Percentage solution with steps:

Step 1: We make the assumption that 420 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\%}={420}.

Step 4: In the same vein, {x\%}={260}.

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

{100\%}={420}(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{420}{260}

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

\frac{x\%}{100\%}=\frac{260}{420}

\Rightarrow{x} = {61.9\%}

Therefore, {260} is {61.9\%} of {420}.

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Solution for 420 is what percent of 260:

420:260*100 =

(420*100):260 =

42000:260 = 161.54

Now we have: 420 is what percent of 260 = 161.54

Question: 420 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\%}={420}.

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

{100\%}={260}(1).

{x\%}={420}(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}{420}

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

\frac{x\%}{100\%}=\frac{420}{260}

\Rightarrow{x} = {161.54\%}

Therefore, {420} is {161.54\%} of {260}.