What is 86.46 percent of 492 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 492 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 492 is 100%, so we can write it down as 492=100%.
4. We know, that x is 86.46% of the output value, so we can write it down as x=86.46%.
5. Now we have two simple equations:
1) 492=100%
2) x=86.46%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
492/x=100%/86.46%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 86.46% of 492

492/x=100/86.46
(492/x)*x=(100/86.46)*x       - we multiply both sides of the equation by x
492=1.1566042100393*x       - we divide both sides of the equation by (1.1566042100393) to get x
492/1.1566042100393=x
425.3832=x
x=425.3832

now we have:
86.46% of 492=425.3832