75.41 is what percent of 84.89 - 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 84.89 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 84.89, so we can write it down as 100%=84.89.
4. We know, that x% equals 75.41 of the output value, so we can write it down as x%=75.41.
5. Now we have two simple equations:
1) 100%=84.89
2) x%=75.41
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%=84.89/75.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.41 is what percent of 84.89

100%/x%=84.89/75.41
(100/x)*x=(84.89/75.41)*x       - we multiply both sides of the equation by x
100=1.1257127701896*x       - we divide both sides of the equation by (1.1257127701896) to get x
100/1.1257127701896=x
88.832606903051=x
x=88.832606903051

now we have:
75.41 is 88.832606903051% of 84.89