Solution for 4.2 is what percent of 9.0:
4.2:9.0*100 =
(4.2*100):9.0 =
420:9.0 = 46.666666666667
Now we have: 4.2 is what percent of 9.0 = 46.666666666667
Question: 4.2 is what percent of 9.0?
Percentage solution with steps:
Step 1: We make the assumption that 9.0 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\%}={9.0}.
Step 4: In the same vein, {x\%}={4.2}.
Step 5: This gives us a pair of simple equations:
{100\%}={9.0}(1).
{x\%}={4.2}(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{9.0}{4.2}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{4.2}{9.0}
\Rightarrow{x} = {46.666666666667\%}
Therefore, {4.2} is {46.666666666667\%} of {9.0}.
Solution for 9.0 is what percent of 4.2:
9.0:4.2*100 =
(9.0*100):4.2 =
900:4.2 = 214.28571428571
Now we have: 9.0 is what percent of 4.2 = 214.28571428571
Question: 9.0 is what percent of 4.2?
Percentage solution with steps:
Step 1: We make the assumption that 4.2 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\%}={4.2}.
Step 4: In the same vein, {x\%}={9.0}.
Step 5: This gives us a pair of simple equations:
{100\%}={4.2}(1).
{x\%}={9.0}(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{4.2}{9.0}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{9.0}{4.2}
\Rightarrow{x} = {214.28571428571\%}
Therefore, {9.0} is {214.28571428571\%} of {4.2}.
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