869.53 is what percent of 36402.96 - 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 36402.96 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 36402.96, so we can write it down as 100%=36402.96.
4. We know, that x% equals 869.53 of the output value, so we can write it down as x%=869.53.
5. Now we have two simple equations:
1) 100%=36402.96
2) x%=869.53
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%=36402.96/869.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 869.53 is what percent of 36402.96

100%/x%=36402.96/869.53
(100/x)*x=(36402.96/869.53)*x       - we multiply both sides of the equation by x
100=41.865099536531*x       - we divide both sides of the equation by (41.865099536531) to get x
100/41.865099536531=x
2.3886244415289=x
x=2.3886244415289

now we have:
869.53 is 2.3886244415289% of 36402.96