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Solution for 224 is what percent of 420:

224:420*100 =

(224*100):420 =

22400:420 = 53.33

Now we have: 224 is what percent of 420 = 53.33

Question: 224 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\%}={224}.

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

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

{x\%}={224}(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}{224}

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

\frac{x\%}{100\%}=\frac{224}{420}

\Rightarrow{x} = {53.33\%}

Therefore, {224} is {53.33\%} of {420}.

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Solution for 420 is what percent of 224:

420:224*100 =

(420*100):224 =

42000:224 = 187.5

Now we have: 420 is what percent of 224 = 187.5

Question: 420 is what percent of 224?

Percentage solution with steps:

Step 1: We make the assumption that 224 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\%}={224}.

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

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

{100\%}={224}(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{224}{420}

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

\frac{x\%}{100\%}=\frac{420}{224}

\Rightarrow{x} = {187.5\%}

Therefore, {420} is {187.5\%} of {224}.