75000.96 is what percent of 105952.86 - 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 105952.86 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 105952.86, so we can write it down as 100%=105952.86.
4. We know, that x% equals 75000.96 of the output value, so we can write it down as x%=75000.96.
5. Now we have two simple equations:
1) 100%=105952.86
2) x%=75000.96
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%=105952.86/75000.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75000.96 is what percent of 105952.86

100%/x%=105952.86/75000.96
(100/x)*x=(105952.86/75000.96)*x       - we multiply both sides of the equation by x
100=1.41268671761*x       - we divide both sides of the equation by (1.41268671761) to get x
100/1.41268671761=x
70.7871028682=x
x=70.7871028682

now we have:
75000.96 is 70.7871028682% of 105952.86