9900.01 is what percent of 10958.62 - 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 10958.62 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 10958.62, so we can write it down as 100%=10958.62.
4. We know, that x% equals 9900.01 of the output value, so we can write it down as x%=9900.01.
5. Now we have two simple equations:
1) 100%=10958.62
2) x%=9900.01
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%=10958.62/9900.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9900.01 is what percent of 10958.62

100%/x%=10958.62/9900.01
(100/x)*x=(10958.62/9900.01)*x       - we multiply both sides of the equation by x
100=1.10693019502*x       - we divide both sides of the equation by (1.10693019502) to get x
100/1.10693019502=x
90.339933312771=x
x=90.339933312771

now we have:
9900.01 is 90.339933312771% of 10958.62