What is 40 percent of 400? Here is an easy method to solve percentage calculations such as what is 40% of 400.
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This is a simple method for solving percentage equations. Use this calculator for business, classroom assignments, when shopping, and in general daily life where percentage calculations are needed.
Assume the unknown value is 'Y'
100% / 400 = 40% / Y
100 / 400 = 40 / Y
Y ( 100 / 400 ) = 40
Y = 40 ( 400 / 100 )
Y = 160
Answer: 40 percent of 400 is 160
Percentages are similar to fractions with an important difference. In fractions the whole is represented by the denominator (e.g. the number 5 in the fraction of 1/5). In percentages, the whole is represented by the number 100. In fact, 'per cent' means 'per 100' or 'for each 100'.
To solve the problem above, let's convert it into equation form: __ = 40% x 400
In this example, the number 400 represents the whole and so, as a percentage, it would be equal to 100%. Written as a ratio, we would get: 100% : 400
If a student took a 400 question test and they got every answer correct, as a percentage they would get a 100% score on the test.
In our problem we have to evaluate the 40 percent of 400. For now, let's call this unknown value 'Y'. Written as a ratio, we would get: 40% : Y
To see a relationship between these two ratios, let's combine them into an equation: 100% : 400 = 40% : Y
It is critical that both of the % values should be on the same side of a ratio. For instance, if you decide to put the % value on the right side of a ratio, then the other % value should also be on the right side of its ratio.
'400 : 100% and Y : 40%' is correct.
'400 : 100% and 40% : Y' is wrong.
Let's solve the equation for Y by first rewriting it as: 100% / 400 = 40% / Y
Drop the percentage marks to simplify your calculations: 100 / 400 = 40 / Y
Multiply both sides by Y to transfer it on the left side of the equation: Y ( 100 / 400 ) = 40
To isolate Y, multiply both sides by 400 / 100, we will have: Y = 40 ( 400 / 100 )
Computing the right side, we get: Y = 160
This leaves us with our final answer: 40% of 400 is 160