60.1 is what percent of 655.1 - 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 655.1 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 655.1, so we can write it down as 100%=655.1.
4. We know, that x% equals 60.1 of the output value, so we can write it down as x%=60.1.
5. Now we have two simple equations:
1) 100%=655.1
2) x%=60.1
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%=655.1/60.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.1 is what percent of 655.1

100%/x%=655.1/60.1
(100/x)*x=(655.1/60.1)*x       - we multiply both sides of the equation by x
100=10.900166389351*x       - we divide both sides of the equation by (10.900166389351) to get x
100/10.900166389351=x
9.1741718821554=x
x=9.1741718821554

now we have:
60.1 is 9.1741718821554% of 655.1