What is 11.5 percent of 16.87 - 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 16.87 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 16.87 is 100%, so we can write it down as 16.87=100%.
4. We know, that x is 11.5% of the output value, so we can write it down as x=11.5%.
5. Now we have two simple equations:
1) 16.87=100%
2) x=11.5%
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:
16.87/x=100%/11.5%
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 11.5% of 16.87

16.87/x=100/11.5
(16.87/x)*x=(100/11.5)*x       - we multiply both sides of the equation by x
16.87=8.695652173913*x       - we divide both sides of the equation by (8.695652173913) to get x
16.87/8.695652173913=x
1.94005=x
x=1.94005

now we have:
11.5% of 16.87=1.94005