What is 46.3 percent of 10 - 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 10 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 10 is 100%, so we can write it down as 10=100%.
4. We know, that x is 46.3% of the output value, so we can write it down as x=46.3%.
5. Now we have two simple equations:
1) 10=100%
2) x=46.3%
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:
10/x=100%/46.3%
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 46.3% of 10

10/x=100/46.3
(10/x)*x=(100/46.3)*x       - we multiply both sides of the equation by x
10=2.1598272138229*x       - we divide both sides of the equation by (2.1598272138229) to get x
10/2.1598272138229=x
4.63=x
x=4.63

now we have:
46.3% of 10=4.63