88.74 is what percent of 89.73 - 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 89.73 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 89.73, so we can write it down as 100%=89.73.
4. We know, that x% equals 88.74 of the output value, so we can write it down as x%=88.74.
5. Now we have two simple equations:
1) 100%=89.73
2) x%=88.74
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%=89.73/88.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.74 is what percent of 89.73

100%/x%=89.73/88.74
(100/x)*x=(89.73/88.74)*x       - we multiply both sides of the equation by x
100=1.0111561866126*x       - we divide both sides of the equation by (1.0111561866126) to get x
100/1.0111561866126=x
98.896690070211=x
x=98.896690070211

now we have:
88.74 is 98.896690070211% of 89.73