What is 10.87 percent of 1516.44 - 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 1516.44 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 1516.44 is 100%, so we can write it down as 1516.44=100%.
4. We know, that x is 10.87% of the output value, so we can write it down as x=10.87%.
5. Now we have two simple equations:
1) 1516.44=100%
2) x=10.87%
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:
1516.44/x=100%/10.87%
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 10.87% of 1516.44

1516.44/x=100/10.87
(1516.44/x)*x=(100/10.87)*x       - we multiply both sides of the equation by x
1516.44=9.1996320147194*x       - we divide both sides of the equation by (9.1996320147194) to get x
1516.44/9.1996320147194=x
164.837028=x
x=164.837028

now we have:
10.87% of 1516.44=164.837028