28.39 is what percent of 1957.5 - 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 1957.5 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 1957.5, so we can write it down as 100%=1957.5.
4. We know, that x% equals 28.39 of the output value, so we can write it down as x%=28.39.
5. Now we have two simple equations:
1) 100%=1957.5
2) x%=28.39
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%=1957.5/28.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.39 is what percent of 1957.5

100%/x%=1957.5/28.39
(100/x)*x=(1957.5/28.39)*x       - we multiply both sides of the equation by x
100=68.950334624868*x       - we divide both sides of the equation by (68.950334624868) to get x
100/68.950334624868=x
1.450319284802=x
x=1.450319284802

now we have:
28.39 is 1.450319284802% of 1957.5