5 is what percent of 6.01 - 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 6.01 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 6.01, so we can write it down as 100%=6.01.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=6.01
2) x%=5
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%=6.01/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 6.01

100%/x%=6.01/5
(100/x)*x=(6.01/5)*x       - we multiply both sides of the equation by x
100=1.202*x       - we divide both sides of the equation by (1.202) to get x
100/1.202=x
83.194675540765=x
x=83.194675540765

now we have:
5 is 83.194675540765% of 6.01