202.5 is what percent of 2090 - 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 2090 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 2090, so we can write it down as 100%=2090.
4. We know, that x% equals 202.5 of the output value, so we can write it down as x%=202.5.
5. Now we have two simple equations:
1) 100%=2090
2) x%=202.5
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%=2090/202.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 202.5 is what percent of 2090

100%/x%=2090/202.5
(100/x)*x=(2090/202.5)*x       - we multiply both sides of the equation by x
100=10.320987654321*x       - we divide both sides of the equation by (10.320987654321) to get x
100/10.320987654321=x
9.688995215311=x
x=9.688995215311

now we have:
202.5 is 9.688995215311% of 2090