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Solution for 215 is what percent of 420:

215:420*100 =

(215*100):420 =

21500:420 = 51.19

Now we have: 215 is what percent of 420 = 51.19

Question: 215 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\%}={215}.

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

{100\%}={420}(1).

{x\%}={215}(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}{215}

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

\frac{x\%}{100\%}=\frac{215}{420}

\Rightarrow{x} = {51.19\%}

Therefore, {215} is {51.19\%} of {420}.

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Solution for 420 is what percent of 215:

420:215*100 =

(420*100):215 =

42000:215 = 195.35

Now we have: 420 is what percent of 215 = 195.35

Question: 420 is what percent of 215?

Percentage solution with steps:

Step 1: We make the assumption that 215 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\%}={215}.

Step 4: In the same vein, {x\%}={420}.

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

{100\%}={215}(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{215}{420}

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

\frac{x\%}{100\%}=\frac{420}{215}

\Rightarrow{x} = {195.35\%}

Therefore, {420} is {195.35\%} of {215}.