29.42 is what percent of 424.21 - 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 424.21 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 424.21, so we can write it down as 100%=424.21.
4. We know, that x% equals 29.42 of the output value, so we can write it down as x%=29.42.
5. Now we have two simple equations:
1) 100%=424.21
2) x%=29.42
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%=424.21/29.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.42 is what percent of 424.21

100%/x%=424.21/29.42
(100/x)*x=(424.21/29.42)*x       - we multiply both sides of the equation by x
100=14.419102651258*x       - we divide both sides of the equation by (14.419102651258) to get x
100/14.419102651258=x
6.9352443365314=x
x=6.9352443365314

now we have:
29.42 is 6.9352443365314% of 424.21