73 is what percent of 84.5 - 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 84.5 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 84.5, so we can write it down as 100%=84.5.
4. We know, that x% equals 73 of the output value, so we can write it down as x%=73.
5. Now we have two simple equations:
1) 100%=84.5
2) x%=73
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%=84.5/73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73 is what percent of 84.5

100%/x%=84.5/73
(100/x)*x=(84.5/73)*x       - we multiply both sides of the equation by x
100=1.1575342465753*x       - we divide both sides of the equation by (1.1575342465753) to get x
100/1.1575342465753=x
86.390532544379=x
x=86.390532544379

now we have:
73 is 86.390532544379% of 84.5