29.63 is what percent of 424.92 - 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 424.92 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 424.92, so we can write it down as 100%=424.92.
4. We know, that x% equals 29.63 of the output value, so we can write it down as x%=29.63.
5. Now we have two simple equations:
1) 100%=424.92
2) x%=29.63
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%=424.92/29.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.63 is what percent of 424.92

100%/x%=424.92/29.63
(100/x)*x=(424.92/29.63)*x       - we multiply both sides of the equation by x
100=14.340870739116*x       - we divide both sides of the equation by (14.340870739116) to get x
100/14.340870739116=x
6.973077285136=x
x=6.973077285136

now we have:
29.63 is 6.973077285136% of 424.92