2015.93 is what percent of 3495.93 - 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 3495.93 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 3495.93, so we can write it down as 100%=3495.93.
4. We know, that x% equals 2015.93 of the output value, so we can write it down as x%=2015.93.
5. Now we have two simple equations:
1) 100%=3495.93
2) x%=2015.93
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%=3495.93/2015.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2015.93 is what percent of 3495.93

100%/x%=3495.93/2015.93
(100/x)*x=(3495.93/2015.93)*x       - we multiply both sides of the equation by x
100=1.7341524755324*x       - we divide both sides of the equation by (1.7341524755324) to get x
100/1.7341524755324=x
57.665056222522=x
x=57.665056222522

now we have:
2015.93 is 57.665056222522% of 3495.93