5.69 is what percent of 1090.27 - 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 1090.27 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 1090.27, so we can write it down as 100%=1090.27.
4. We know, that x% equals 5.69 of the output value, so we can write it down as x%=5.69.
5. Now we have two simple equations:
1) 100%=1090.27
2) x%=5.69
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%=1090.27/5.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.69 is what percent of 1090.27

100%/x%=1090.27/5.69
(100/x)*x=(1090.27/5.69)*x       - we multiply both sides of the equation by x
100=191.61159929701*x       - we divide both sides of the equation by (191.61159929701) to get x
100/191.61159929701=x
0.5218890733488=x
x=0.5218890733488

now we have:
5.69 is 0.5218890733488% of 1090.27