907.01 is what percent of 965.009999 - 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 965.009999 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 965.009999, so we can write it down as 100%=965.009999.
4. We know, that x% equals 907.01 of the output value, so we can write it down as x%=907.01.
5. Now we have two simple equations:
1) 100%=965.009999
2) x%=907.01
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%=965.009999/907.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 907.01 is what percent of 965.009999

100%/x%=965.009999/907.01
(100/x)*x=(965.009999/907.01)*x       - we multiply both sides of the equation by x
100=1.0639463721458*x       - we divide both sides of the equation by (1.0639463721458) to get x
100/1.0639463721458=x
93.989699686003=x
x=93.989699686003

now we have:
907.01 is 93.989699686003% of 965.009999