85.05 is what percent of 2102 - 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 2102 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 2102, so we can write it down as 100%=2102.
4. We know, that x% equals 85.05 of the output value, so we can write it down as x%=85.05.
5. Now we have two simple equations:
1) 100%=2102
2) x%=85.05
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%=2102/85.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.05 is what percent of 2102

100%/x%=2102/85.05
(100/x)*x=(2102/85.05)*x       - we multiply both sides of the equation by x
100=24.714873603762*x       - we divide both sides of the equation by (24.714873603762) to get x
100/24.714873603762=x
4.046146527117=x
x=4.046146527117

now we have:
85.05 is 4.046146527117% of 2102