85 is what percent of 2145 - 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 2145 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 2145, so we can write it down as 100%=2145.
4. We know, that x% equals 85 of the output value, so we can write it down as x%=85.
5. Now we have two simple equations:
1) 100%=2145
2) x%=85
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%=2145/85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85 is what percent of 2145

100%/x%=2145/85
(100/x)*x=(2145/85)*x       - we multiply both sides of the equation by x
100=25.235294117647*x       - we divide both sides of the equation by (25.235294117647) to get x
100/25.235294117647=x
3.962703962704=x
x=3.962703962704

now we have:
85 is 3.962703962704% of 2145