62.57 is what percent of 2.085 - 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 2.085 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 2.085, so we can write it down as 100%=2.085.
4. We know, that x% equals 62.57 of the output value, so we can write it down as x%=62.57.
5. Now we have two simple equations:
1) 100%=2.085
2) x%=62.57
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%=2.085/62.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.57 is what percent of 2.085

100%/x%=2.085/62.57
(100/x)*x=(2.085/62.57)*x       - we multiply both sides of the equation by x
100=0.033322678599968*x       - we divide both sides of the equation by (0.033322678599968) to get x
100/0.033322678599968=x
3000.9592326139=x
x=3000.9592326139

now we have:
62.57 is 3000.9592326139% of 2.085