7.5 is what percent of 7.85 - 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 7.85 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 7.85, so we can write it down as 100%=7.85.
4. We know, that x% equals 7.5 of the output value, so we can write it down as x%=7.5.
5. Now we have two simple equations:
1) 100%=7.85
2) x%=7.5
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%=7.85/7.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.5 is what percent of 7.85

100%/x%=7.85/7.5
(100/x)*x=(7.85/7.5)*x       - we multiply both sides of the equation by x
100=1.0466666666667*x       - we divide both sides of the equation by (1.0466666666667) to get x
100/1.0466666666667=x
95.541401273885=x
x=95.541401273885

now we have:
7.5 is 95.541401273885% of 7.85