642.19 is what percent of 1485.19 - 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 1485.19 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 1485.19, so we can write it down as 100%=1485.19.
4. We know, that x% equals 642.19 of the output value, so we can write it down as x%=642.19.
5. Now we have two simple equations:
1) 100%=1485.19
2) x%=642.19
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%=1485.19/642.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 642.19 is what percent of 1485.19

100%/x%=1485.19/642.19
(100/x)*x=(1485.19/642.19)*x       - we multiply both sides of the equation by x
100=2.3126956196764*x       - we divide both sides of the equation by (2.3126956196764) to get x
100/2.3126956196764=x
43.239585507578=x
x=43.239585507578

now we have:
642.19 is 43.239585507578% of 1485.19