48.27 is what percent of 562.76 - 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 562.76 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 562.76, so we can write it down as 100%=562.76.
4. We know, that x% equals 48.27 of the output value, so we can write it down as x%=48.27.
5. Now we have two simple equations:
1) 100%=562.76
2) x%=48.27
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%=562.76/48.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.27 is what percent of 562.76

100%/x%=562.76/48.27
(100/x)*x=(562.76/48.27)*x       - we multiply both sides of the equation by x
100=11.65858711415*x       - we divide both sides of the equation by (11.65858711415) to get x
100/11.65858711415=x
8.5773686829199=x
x=8.5773686829199

now we have:
48.27 is 8.5773686829199% of 562.76