90.01 is what percent of 209.99 - 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 209.99 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 209.99, so we can write it down as 100%=209.99.
4. We know, that x% equals 90.01 of the output value, so we can write it down as x%=90.01.
5. Now we have two simple equations:
1) 100%=209.99
2) x%=90.01
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%=209.99/90.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.01 is what percent of 209.99

100%/x%=209.99/90.01
(100/x)*x=(209.99/90.01)*x       - we multiply both sides of the equation by x
100=2.3329630041107*x       - we divide both sides of the equation by (2.3329630041107) to get x
100/2.3329630041107=x
42.863945902186=x
x=42.863945902186

now we have:
90.01 is 42.863945902186% of 209.99