88.23 is what percent of 0.78 - 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 0.78 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 0.78, so we can write it down as 100%=0.78.
4. We know, that x% equals 88.23 of the output value, so we can write it down as x%=88.23.
5. Now we have two simple equations:
1) 100%=0.78
2) x%=88.23
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%=0.78/88.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.23 is what percent of 0.78

100%/x%=0.78/88.23
(100/x)*x=(0.78/88.23)*x       - we multiply both sides of the equation by x
100=0.0088405304318259*x       - we divide both sides of the equation by (0.0088405304318259) to get x
100/0.0088405304318259=x
11311.538461538=x
x=11311.538461538

now we have:
88.23 is 11311.538461538% of 0.78