90.3 is what percent of 960.15 - 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 960.15 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 960.15, so we can write it down as 100%=960.15.
4. We know, that x% equals 90.3 of the output value, so we can write it down as x%=90.3.
5. Now we have two simple equations:
1) 100%=960.15
2) x%=90.3
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%=960.15/90.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.3 is what percent of 960.15

100%/x%=960.15/90.3
(100/x)*x=(960.15/90.3)*x       - we multiply both sides of the equation by x
100=10.632890365449*x       - we divide both sides of the equation by (10.632890365449) to get x
100/10.632890365449=x
9.4047805030464=x
x=9.4047805030464

now we have:
90.3 is 9.4047805030464% of 960.15