88.3 is what percent of 88 - 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 88 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 88, so we can write it down as 100%=88.
4. We know, that x% equals 88.3 of the output value, so we can write it down as x%=88.3.
5. Now we have two simple equations:
1) 100%=88
2) x%=88.3
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%=88/88.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.3 is what percent of 88

100%/x%=88/88.3
(100/x)*x=(88/88.3)*x       - we multiply both sides of the equation by x
100=0.99660249150623*x       - we divide both sides of the equation by (0.99660249150623) to get x
100/0.99660249150623=x
100.34090909091=x
x=100.34090909091

now we have:
88.3 is 100.34090909091% of 88