88 is what percent of 3.648 - 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 3.648 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 3.648, so we can write it down as 100%=3.648.
4. We know, that x% equals 88 of the output value, so we can write it down as x%=88.
5. Now we have two simple equations:
1) 100%=3.648
2) x%=88
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%=3.648/88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88 is what percent of 3.648

100%/x%=3.648/88
(100/x)*x=(3.648/88)*x       - we multiply both sides of the equation by x
100=0.041454545454545*x       - we divide both sides of the equation by (0.041454545454545) to get x
100/0.041454545454545=x
2412.2807017544=x
x=2412.2807017544

now we have:
88 is 2412.2807017544% of 3.648