What is 4.63 percent of 3142.96 - 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 3142.96 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 3142.96 is 100%, so we can write it down as 3142.96=100%.
4. We know, that x is 4.63% of the output value, so we can write it down as x=4.63%.
5. Now we have two simple equations:
1) 3142.96=100%
2) x=4.63%
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:
3142.96/x=100%/4.63%
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 4.63% of 3142.96

3142.96/x=100/4.63
(3142.96/x)*x=(100/4.63)*x       - we multiply both sides of the equation by x
3142.96=21.598272138229*x       - we divide both sides of the equation by (21.598272138229) to get x
3142.96/21.598272138229=x
145.519048=x
x=145.519048

now we have:
4.63% of 3142.96=145.519048