1301.53 is what percent of 2959.85 - 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 2959.85 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 2959.85, so we can write it down as 100%=2959.85.
4. We know, that x% equals 1301.53 of the output value, so we can write it down as x%=1301.53.
5. Now we have two simple equations:
1) 100%=2959.85
2) x%=1301.53
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%=2959.85/1301.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1301.53 is what percent of 2959.85

100%/x%=2959.85/1301.53
(100/x)*x=(2959.85/1301.53)*x       - we multiply both sides of the equation by x
100=2.274131214801*x       - we divide both sides of the equation by (2.274131214801) to get x
100/2.274131214801=x
43.972836461307=x
x=43.972836461307

now we have:
1301.53 is 43.972836461307% of 2959.85