89 is what percent of 90.78 - 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 90.78 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 90.78, so we can write it down as 100%=90.78.
4. We know, that x% equals 89 of the output value, so we can write it down as x%=89.
5. Now we have two simple equations:
1) 100%=90.78
2) x%=89
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%=90.78/89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89 is what percent of 90.78

100%/x%=90.78/89
(100/x)*x=(90.78/89)*x       - we multiply both sides of the equation by x
100=1.02*x       - we divide both sides of the equation by (1.02) to get x
100/1.02=x
98.039215686275=x
x=98.039215686275

now we have:
89 is 98.039215686275% of 90.78