1579.92 is what percent of 3174.92 - 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 3174.92 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 3174.92, so we can write it down as 100%=3174.92.
4. We know, that x% equals 1579.92 of the output value, so we can write it down as x%=1579.92.
5. Now we have two simple equations:
1) 100%=3174.92
2) x%=1579.92
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%=3174.92/1579.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1579.92 is what percent of 3174.92

100%/x%=3174.92/1579.92
(100/x)*x=(3174.92/1579.92)*x       - we multiply both sides of the equation by x
100=2.0095447870778*x       - we divide both sides of the equation by (2.0095447870778) to get x
100/2.0095447870778=x
49.762513701133=x
x=49.762513701133

now we have:
1579.92 is 49.762513701133% of 3174.92