What is 6.875 percent of 10.089 - 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 10.089 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 10.089 is 100%, so we can write it down as 10.089=100%.
4. We know, that x is 6.875% of the output value, so we can write it down as x=6.875%.
5. Now we have two simple equations:
1) 10.089=100%
2) x=6.875%
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:
10.089/x=100%/6.875%
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 6.875% of 10.089

10.089/x=100/6.875
(10.089/x)*x=(100/6.875)*x       - we multiply both sides of the equation by x
10.089=14.545454545455*x       - we divide both sides of the equation by (14.545454545455) to get x
10.089/14.545454545455=x
0.69361875=x
x=0.69361875

now we have:
6.875% of 10.089=0.69361875