99.1 is what percent of 1010 - 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 1010 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 1010, so we can write it down as 100%=1010.
4. We know, that x% equals 99.1 of the output value, so we can write it down as x%=99.1.
5. Now we have two simple equations:
1) 100%=1010
2) x%=99.1
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%=1010/99.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.1 is what percent of 1010

100%/x%=1010/99.1
(100/x)*x=(1010/99.1)*x       - we multiply both sides of the equation by x
100=10.191725529768*x       - we divide both sides of the equation by (10.191725529768) to get x
100/10.191725529768=x
9.8118811881188=x
x=9.8118811881188

now we have:
99.1 is 9.8118811881188% of 1010