88.97 is what percent of 61.1 - 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 61.1 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 61.1, so we can write it down as 100%=61.1.
4. We know, that x% equals 88.97 of the output value, so we can write it down as x%=88.97.
5. Now we have two simple equations:
1) 100%=61.1
2) x%=88.97
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%=61.1/88.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.97 is what percent of 61.1

100%/x%=61.1/88.97
(100/x)*x=(61.1/88.97)*x       - we multiply both sides of the equation by x
100=0.6867483421378*x       - we divide both sides of the equation by (0.6867483421378) to get x
100/0.6867483421378=x
145.61374795417=x
x=145.61374795417

now we have:
88.97 is 145.61374795417% of 61.1