2042.25 is what percent of 5543.29 - 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 5543.29 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 5543.29, so we can write it down as 100%=5543.29.
4. We know, that x% equals 2042.25 of the output value, so we can write it down as x%=2042.25.
5. Now we have two simple equations:
1) 100%=5543.29
2) x%=2042.25
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%=5543.29/2042.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2042.25 is what percent of 5543.29

100%/x%=5543.29/2042.25
(100/x)*x=(5543.29/2042.25)*x       - we multiply both sides of the equation by x
100=2.7143053005264*x       - we divide both sides of the equation by (2.7143053005264) to get x
100/2.7143053005264=x
36.841839413056=x
x=36.841839413056

now we have:
2042.25 is 36.841839413056% of 5543.29