900.03 is what percent of 789.5 - 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 789.5 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 789.5, so we can write it down as 100%=789.5.
4. We know, that x% equals 900.03 of the output value, so we can write it down as x%=900.03.
5. Now we have two simple equations:
1) 100%=789.5
2) x%=900.03
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%=789.5/900.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 900.03 is what percent of 789.5

100%/x%=789.5/900.03
(100/x)*x=(789.5/900.03)*x       - we multiply both sides of the equation by x
100=0.87719298245614*x       - we divide both sides of the equation by (0.87719298245614) to get x
100/0.87719298245614=x
114=x
x=114

now we have:
900.03 is 114% of 789.5