8.87 is what percent of 105 - 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 105 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 100% equals 105, so we can write it down as 100%=105.
4. We know, that x% equals 8.87 of the output value, so we can write it down as x%=8.87.
5. Now we have two simple equations:
1) 100%=105
2) x%=8.87
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:
100%/x%=105/8.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.87 is what percent of 105

100%/x%=105/8.87
(100/x)*x=(105/8.87)*x       - we multiply both sides of the equation by x
100=11.837655016911*x       - we divide both sides of the equation by (11.837655016911) to get x
100/11.837655016911=x
8.447619047619=x
x=8.447619047619

now we have:
8.87 is 8.447619047619% of 105