130.45 is what percent of 1961.6 - 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 1961.6 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 1961.6, so we can write it down as 100%=1961.6.
4. We know, that x% equals 130.45 of the output value, so we can write it down as x%=130.45.
5. Now we have two simple equations:
1) 100%=1961.6
2) x%=130.45
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%=1961.6/130.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.45 is what percent of 1961.6

100%/x%=1961.6/130.45
(100/x)*x=(1961.6/130.45)*x       - we multiply both sides of the equation by x
100=15.037178995784*x       - we divide both sides of the equation by (15.037178995784) to get x
100/15.037178995784=x
6.6501835236542=x
x=6.6501835236542

now we have:
130.45 is 6.6501835236542% of 1961.6