62077.44 is what percent of 75080.5 - 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 75080.5 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 75080.5, so we can write it down as 100%=75080.5.
4. We know, that x% equals 62077.44 of the output value, so we can write it down as x%=62077.44.
5. Now we have two simple equations:
1) 100%=75080.5
2) x%=62077.44
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%=75080.5/62077.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62077.44 is what percent of 75080.5

100%/x%=75080.5/62077.44
(100/x)*x=(75080.5/62077.44)*x       - we multiply both sides of the equation by x
100=1.2094651454699*x       - we divide both sides of the equation by (1.2094651454699) to get x
100/1.2094651454699=x
82.681175538256=x
x=82.681175538256

now we have:
62077.44 is 82.681175538256% of 75080.5