29255.5 is what percent of 46998.5 - 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 46998.5 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 46998.5, so we can write it down as 100%=46998.5.
4. We know, that x% equals 29255.5 of the output value, so we can write it down as x%=29255.5.
5. Now we have two simple equations:
1) 100%=46998.5
2) x%=29255.5
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%=46998.5/29255.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29255.5 is what percent of 46998.5

100%/x%=46998.5/29255.5
(100/x)*x=(46998.5/29255.5)*x       - we multiply both sides of the equation by x
100=1.6064842508246*x       - we divide both sides of the equation by (1.6064842508246) to get x
100/1.6064842508246=x
62.247731310574=x
x=62.247731310574

now we have:
29255.5 is 62.247731310574% of 46998.5