What is 10.46875 percent of 800 - 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 800 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 800 is 100%, so we can write it down as 800=100%.
4. We know, that x is 10.46875% of the output value, so we can write it down as x=10.46875%.
5. Now we have two simple equations:
1) 800=100%
2) x=10.46875%
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:
800/x=100%/10.46875%
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 10.46875% of 800

800/x=100/10.46875
(800/x)*x=(100/10.46875)*x       - we multiply both sides of the equation by x
800=9.5522388059701*x       - we divide both sides of the equation by (9.5522388059701) to get x
800/9.5522388059701=x
83.75=x
x=83.75

now we have:
10.46875% of 800=83.75