29 is what percent of 587 - 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 587 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 587, so we can write it down as 100%=587.
4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.
5. Now we have two simple equations:
1) 100%=587
2) x%=29
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%=587/29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29 is what percent of 587

100%/x%=587/29
(100/x)*x=(587/29)*x       - we multiply both sides of the equation by x
100=20.241379310345*x       - we divide both sides of the equation by (20.241379310345) to get x
100/20.241379310345=x
4.9403747870528=x
x=4.9403747870528

now we have:
29 is 4.9403747870528% of 587