56.42 is what percent of 1136.88 - 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 1136.88 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 1136.88, so we can write it down as 100%=1136.88.
4. We know, that x% equals 56.42 of the output value, so we can write it down as x%=56.42.
5. Now we have two simple equations:
1) 100%=1136.88
2) x%=56.42
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%=1136.88/56.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.42 is what percent of 1136.88

100%/x%=1136.88/56.42
(100/x)*x=(1136.88/56.42)*x       - we multiply both sides of the equation by x
100=20.150301311592*x       - we divide both sides of the equation by (20.150301311592) to get x
100/20.150301311592=x
4.9627049468721=x
x=4.9627049468721

now we have:
56.42 is 4.9627049468721% of 1136.88