What is 75.19 percent of 85.02 - 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 85.02 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 85.02 is 100%, so we can write it down as 85.02=100%.
4. We know, that x is 75.19% of the output value, so we can write it down as x=75.19%.
5. Now we have two simple equations:
1) 85.02=100%
2) x=75.19%
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:
85.02/x=100%/75.19%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 75.19% of 85.02

85.02/x=100/75.19
(85.02/x)*x=(100/75.19)*x       - we multiply both sides of the equation by x
85.02=1.3299640909695*x       - we divide both sides of the equation by (1.3299640909695) to get x
85.02/1.3299640909695=x
63.926538=x
x=63.926538

now we have:
75.19% of 85.02=63.926538