56.21 is what percent of 1148.39 - 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 1148.39 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 1148.39, so we can write it down as 100%=1148.39.
4. We know, that x% equals 56.21 of the output value, so we can write it down as x%=56.21.
5. Now we have two simple equations:
1) 100%=1148.39
2) x%=56.21
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%=1148.39/56.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.21 is what percent of 1148.39

100%/x%=1148.39/56.21
(100/x)*x=(1148.39/56.21)*x       - we multiply both sides of the equation by x
100=20.430350471446*x       - we divide both sides of the equation by (20.430350471446) to get x
100/20.430350471446=x
4.8946786370484=x
x=4.8946786370484

now we have:
56.21 is 4.8946786370484% of 1148.39