What is 87.2093023256 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 87.2093023256% of the output value, so we can write it down as x=87.2093023256%.
5. Now we have two simple equations:
1) 10=100%
2) x=87.2093023256%
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%/87.2093023256%
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 87.2093023256% of 10

10/x=100/87.2093023256
(10/x)*x=(100/87.2093023256)*x       - we multiply both sides of the equation by x
10=1.1466666666664*x       - we divide both sides of the equation by (1.1466666666664) to get x
10/1.1466666666664=x
8.72093023256=x
x=8.72093023256

now we have:
87.2093023256% of 10=8.72093023256