88.22 is what percent of 153.02 - 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 153.02 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 153.02, so we can write it down as 100%=153.02.
4. We know, that x% equals 88.22 of the output value, so we can write it down as x%=88.22.
5. Now we have two simple equations:
1) 100%=153.02
2) x%=88.22
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%=153.02/88.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.22 is what percent of 153.02

100%/x%=153.02/88.22
(100/x)*x=(153.02/88.22)*x       - we multiply both sides of the equation by x
100=1.7345273180685*x       - we divide both sides of the equation by (1.7345273180685) to get x
100/1.7345273180685=x
57.6525944321=x
x=57.6525944321

now we have:
88.22 is 57.6525944321% of 153.02