Solution for 1600 is what percent of 1800:
1600:1800*100 =
(1600*100):1800 =
160000:1800 = 88.89
Now we have: 1600 is what percent of 1800 = 88.89
Question: 1600 is what percent of 1800?
Percentage solution with steps:
Step 1: We make the assumption that 1800 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\%}={1800}.
Step 4: In the same vein, {x\%}={1600}.
Step 5: This gives us a pair of simple equations:
{100\%}={1800}(1).
{x\%}={1600}(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{1800}{1600}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{1600}{1800}
\Rightarrow{x} = {88.89\%}
Therefore, {1600} is {88.89\%} of {1800}.
Solution for 1800 is what percent of 1600:
1800:1600*100 =
(1800*100):1600 =
180000:1600 = 112.5
Now we have: 1800 is what percent of 1600 = 112.5
Question: 1800 is what percent of 1600?
Percentage solution with steps:
Step 1: We make the assumption that 1600 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\%}={1600}.
Step 4: In the same vein, {x\%}={1800}.
Step 5: This gives us a pair of simple equations:
{100\%}={1600}(1).
{x\%}={1800}(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{1600}{1800}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{1800}{1600}
\Rightarrow{x} = {112.5\%}
Therefore, {1800} is {112.5\%} of {1600}.