56.88 is what percent of 346.28 - 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 346.28 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 346.28, so we can write it down as 100%=346.28.
4. We know, that x% equals 56.88 of the output value, so we can write it down as x%=56.88.
5. Now we have two simple equations:
1) 100%=346.28
2) x%=56.88
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%=346.28/56.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.88 is what percent of 346.28

100%/x%=346.28/56.88
(100/x)*x=(346.28/56.88)*x       - we multiply both sides of the equation by x
100=6.0879043600563*x       - we divide both sides of the equation by (6.0879043600563) to get x
100/6.0879043600563=x
16.426013630588=x
x=16.426013630588

now we have:
56.88 is 16.426013630588% of 346.28