2.85 is what percent of 4.19 - 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 4.19 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 4.19, so we can write it down as 100%=4.19.
4. We know, that x% equals 2.85 of the output value, so we can write it down as x%=2.85.
5. Now we have two simple equations:
1) 100%=4.19
2) x%=2.85
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%=4.19/2.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.85 is what percent of 4.19

100%/x%=4.19/2.85
(100/x)*x=(4.19/2.85)*x       - we multiply both sides of the equation by x
100=1.4701754385965*x       - we divide both sides of the equation by (1.4701754385965) to get x
100/1.4701754385965=x
68.019093078759=x
x=68.019093078759

now we have:
2.85 is 68.019093078759% of 4.19