1742.4 is what percent of 5869.5 - 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 5869.5 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 5869.5, so we can write it down as 100%=5869.5.
4. We know, that x% equals 1742.4 of the output value, so we can write it down as x%=1742.4.
5. Now we have two simple equations:
1) 100%=5869.5
2) x%=1742.4
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%=5869.5/1742.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1742.4 is what percent of 5869.5

100%/x%=5869.5/1742.4
(100/x)*x=(5869.5/1742.4)*x       - we multiply both sides of the equation by x
100=3.368629476584*x       - we divide both sides of the equation by (3.368629476584) to get x
100/3.368629476584=x
29.685663174035=x
x=29.685663174035

now we have:
1742.4 is 29.685663174035% of 5869.5