88.16 is what percent of 329.21 - 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 329.21 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 329.21, so we can write it down as 100%=329.21.
4. We know, that x% equals 88.16 of the output value, so we can write it down as x%=88.16.
5. Now we have two simple equations:
1) 100%=329.21
2) x%=88.16
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%=329.21/88.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.16 is what percent of 329.21

100%/x%=329.21/88.16
(100/x)*x=(329.21/88.16)*x       - we multiply both sides of the equation by x
100=3.7342332123412*x       - we divide both sides of the equation by (3.7342332123412) to get x
100/3.7342332123412=x
26.779259439264=x
x=26.779259439264

now we have:
88.16 is 26.779259439264% of 329.21