1597.4 is what percent of 30075 - 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 30075 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 30075, so we can write it down as 100%=30075.
4. We know, that x% equals 1597.4 of the output value, so we can write it down as x%=1597.4.
5. Now we have two simple equations:
1) 100%=30075
2) x%=1597.4
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%=30075/1597.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1597.4 is what percent of 30075

100%/x%=30075/1597.4
(100/x)*x=(30075/1597.4)*x       - we multiply both sides of the equation by x
100=18.827469638162*x       - we divide both sides of the equation by (18.827469638162) to get x
100/18.827469638162=x
5.3113881961762=x
x=5.3113881961762

now we have:
1597.4 is 5.3113881961762% of 30075