900.5 is what percent of 955 - 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 955 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 955, so we can write it down as 100%=955.
4. We know, that x% equals 900.5 of the output value, so we can write it down as x%=900.5.
5. Now we have two simple equations:
1) 100%=955
2) x%=900.5
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%=955/900.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 900.5 is what percent of 955

100%/x%=955/900.5
(100/x)*x=(955/900.5)*x       - we multiply both sides of the equation by x
100=1.0605219322599*x       - we divide both sides of the equation by (1.0605219322599) to get x
100/1.0605219322599=x
94.293193717277=x
x=94.293193717277

now we have:
900.5 is 94.293193717277% of 955