980.25 is what percent of 1.5 - 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 1.5 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 1.5, so we can write it down as 100%=1.5.
4. We know, that x% equals 980.25 of the output value, so we can write it down as x%=980.25.
5. Now we have two simple equations:
1) 100%=1.5
2) x%=980.25
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%=1.5/980.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 980.25 is what percent of 1.5

100%/x%=1.5/980.25
(100/x)*x=(1.5/980.25)*x       - we multiply both sides of the equation by x
100=0.0015302218821729*x       - we divide both sides of the equation by (0.0015302218821729) to get x
100/0.0015302218821729=x
65350=x
x=65350

now we have:
980.25 is 65350% of 1.5