7842.5 is what percent of 8690.5 - 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 8690.5 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 8690.5, so we can write it down as 100%=8690.5.
4. We know, that x% equals 7842.5 of the output value, so we can write it down as x%=7842.5.
5. Now we have two simple equations:
1) 100%=8690.5
2) x%=7842.5
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%=8690.5/7842.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7842.5 is what percent of 8690.5

100%/x%=8690.5/7842.5
(100/x)*x=(8690.5/7842.5)*x       - we multiply both sides of the equation by x
100=1.1081287854638*x       - we divide both sides of the equation by (1.1081287854638) to get x
100/1.1081287854638=x
90.24221851447=x
x=90.24221851447

now we have:
7842.5 is 90.24221851447% of 8690.5