4.22 is what percent of 421.7 - 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 421.7 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 421.7, so we can write it down as 100%=421.7.
4. We know, that x% equals 4.22 of the output value, so we can write it down as x%=4.22.
5. Now we have two simple equations:
1) 100%=421.7
2) x%=4.22
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%=421.7/4.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.22 is what percent of 421.7

100%/x%=421.7/4.22
(100/x)*x=(421.7/4.22)*x       - we multiply both sides of the equation by x
100=99.928909952607*x       - we divide both sides of the equation by (99.928909952607) to get x
100/99.928909952607=x
1.0007114062129=x
x=1.0007114062129

now we have:
4.22 is 1.0007114062129% of 421.7