6.01 is what percent of 64.5 - 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 64.5 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 64.5, so we can write it down as 100%=64.5.
4. We know, that x% equals 6.01 of the output value, so we can write it down as x%=6.01.
5. Now we have two simple equations:
1) 100%=64.5
2) x%=6.01
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%=64.5/6.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.01 is what percent of 64.5

100%/x%=64.5/6.01
(100/x)*x=(64.5/6.01)*x       - we multiply both sides of the equation by x
100=10.732113144759*x       - we divide both sides of the equation by (10.732113144759) to get x
100/10.732113144759=x
9.3178294573643=x
x=9.3178294573643

now we have:
6.01 is 9.3178294573643% of 64.5