48.21 is what percent of 250.3 - 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 250.3 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 250.3, so we can write it down as 100%=250.3.
4. We know, that x% equals 48.21 of the output value, so we can write it down as x%=48.21.
5. Now we have two simple equations:
1) 100%=250.3
2) x%=48.21
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%=250.3/48.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.21 is what percent of 250.3

100%/x%=250.3/48.21
(100/x)*x=(250.3/48.21)*x       - we multiply both sides of the equation by x
100=5.1918689068658*x       - we divide both sides of the equation by (5.1918689068658) to get x
100/5.1918689068658=x
19.260886935677=x
x=19.260886935677

now we have:
48.21 is 19.260886935677% of 250.3