4.13 is what percent of 6.22 - 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 6.22 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 6.22, so we can write it down as 100%=6.22.
4. We know, that x% equals 4.13 of the output value, so we can write it down as x%=4.13.
5. Now we have two simple equations:
1) 100%=6.22
2) x%=4.13
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%=6.22/4.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.13 is what percent of 6.22

100%/x%=6.22/4.13
(100/x)*x=(6.22/4.13)*x       - we multiply both sides of the equation by x
100=1.5060532687651*x       - we divide both sides of the equation by (1.5060532687651) to get x
100/1.5060532687651=x
66.398713826367=x
x=66.398713826367

now we have:
4.13 is 66.398713826367% of 6.22