88.25 is what percent of 84 - 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 84 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 84, so we can write it down as 100%=84.
4. We know, that x% equals 88.25 of the output value, so we can write it down as x%=88.25.
5. Now we have two simple equations:
1) 100%=84
2) x%=88.25
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%=84/88.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.25 is what percent of 84

100%/x%=84/88.25
(100/x)*x=(84/88.25)*x       - we multiply both sides of the equation by x
100=0.95184135977337*x       - we divide both sides of the equation by (0.95184135977337) to get x
100/0.95184135977337=x
105.05952380952=x
x=105.05952380952

now we have:
88.25 is 105.05952380952% of 84