28.45 is what percent of 1497.62 - 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 1497.62 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 1497.62, so we can write it down as 100%=1497.62.
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%=1497.62
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%=1497.62/28.45
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 1497.62

100%/x%=1497.62/28.45
(100/x)*x=(1497.62/28.45)*x       - we multiply both sides of the equation by x
100=52.640421792619*x       - we divide both sides of the equation by (52.640421792619) to get x
100/52.640421792619=x
1.899680826912=x
x=1.899680826912

now we have:
28.45 is 1.899680826912% of 1497.62