1345.45 is what percent of 5728.12 - 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 5728.12 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 5728.12, so we can write it down as 100%=5728.12.
4. We know, that x% equals 1345.45 of the output value, so we can write it down as x%=1345.45.
5. Now we have two simple equations:
1) 100%=5728.12
2) x%=1345.45
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%=5728.12/1345.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1345.45 is what percent of 5728.12

100%/x%=5728.12/1345.45
(100/x)*x=(5728.12/1345.45)*x       - we multiply both sides of the equation by x
100=4.2574008695975*x       - we divide both sides of the equation by (4.2574008695975) to get x
100/4.2574008695975=x
23.488509318939=x
x=23.488509318939

now we have:
1345.45 is 23.488509318939% of 5728.12