5.83 is what percent of 6.42 - 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 6.42 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 6.42, so we can write it down as 100%=6.42.
4. We know, that x% equals 5.83 of the output value, so we can write it down as x%=5.83.
5. Now we have two simple equations:
1) 100%=6.42
2) x%=5.83
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%=6.42/5.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.83 is what percent of 6.42

100%/x%=6.42/5.83
(100/x)*x=(6.42/5.83)*x       - we multiply both sides of the equation by x
100=1.1012006861063*x       - we divide both sides of the equation by (1.1012006861063) to get x
100/1.1012006861063=x
90.809968847352=x
x=90.809968847352

now we have:
5.83 is 90.809968847352% of 6.42