28.45 is what percent of 1350.79 - 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 1350.79 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 1350.79, so we can write it down as 100%=1350.79.
4. We know, that x% equals 28.45 of the output value, so we can write it down as x%=28.45.
5. Now we have two simple equations:
1) 100%=1350.79
2) x%=28.45
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%=1350.79/28.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.45 is what percent of 1350.79

100%/x%=1350.79/28.45
(100/x)*x=(1350.79/28.45)*x       - we multiply both sides of the equation by x
100=47.479437609842*x       - we divide both sides of the equation by (47.479437609842) to get x
100/47.479437609842=x
2.1061749050556=x
x=2.1061749050556

now we have:
28.45 is 2.1061749050556% of 1350.79