89.5 is what percent of 100.05 - 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 100.05 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 100.05, so we can write it down as 100%=100.05.
4. We know, that x% equals 89.5 of the output value, so we can write it down as x%=89.5.
5. Now we have two simple equations:
1) 100%=100.05
2) x%=89.5
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:
100%/x%=100.05/89.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.5 is what percent of 100.05

100%/x%=100.05/89.5
(100/x)*x=(100.05/89.5)*x       - we multiply both sides of the equation by x
100=1.1178770949721*x       - we divide both sides of the equation by (1.1178770949721) to get x
100/1.1178770949721=x
89.455272363818=x
x=89.455272363818

now we have:
89.5 is 89.455272363818% of 100.05