29.02 is what percent of 46.12 - 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 46.12 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 46.12, so we can write it down as 100%=46.12.
4. We know, that x% equals 29.02 of the output value, so we can write it down as x%=29.02.
5. Now we have two simple equations:
1) 100%=46.12
2) x%=29.02
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%=46.12/29.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.02 is what percent of 46.12

100%/x%=46.12/29.02
(100/x)*x=(46.12/29.02)*x       - we multiply both sides of the equation by x
100=1.5892487939352*x       - we divide both sides of the equation by (1.5892487939352) to get x
100/1.5892487939352=x
62.922810060711=x
x=62.922810060711

now we have:
29.02 is 62.922810060711% of 46.12