890.5 is what percent of 900 - 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 900 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 900, so we can write it down as 100%=900.
4. We know, that x% equals 890.5 of the output value, so we can write it down as x%=890.5.
5. Now we have two simple equations:
1) 100%=900
2) x%=890.5
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%=900/890.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 890.5 is what percent of 900

100%/x%=900/890.5
(100/x)*x=(900/890.5)*x       - we multiply both sides of the equation by x
100=1.0106681639528*x       - we divide both sides of the equation by (1.0106681639528) to get x
100/1.0106681639528=x
98.944444444444=x
x=98.944444444444

now we have:
890.5 is 98.944444444444% of 900