2120.5 is what percent of 10748 - 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 10748 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 10748, so we can write it down as 100%=10748.
4. We know, that x% equals 2120.5 of the output value, so we can write it down as x%=2120.5.
5. Now we have two simple equations:
1) 100%=10748
2) x%=2120.5
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%=10748/2120.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2120.5 is what percent of 10748

100%/x%=10748/2120.5
(100/x)*x=(10748/2120.5)*x       - we multiply both sides of the equation by x
100=5.0686158924782*x       - we divide both sides of the equation by (5.0686158924782) to get x
100/5.0686158924782=x
19.729251953852=x
x=19.729251953852

now we have:
2120.5 is 19.729251953852% of 10748