645.2 is what percent of 120000 - 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 120000 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 120000, so we can write it down as 100%=120000.
4. We know, that x% equals 645.2 of the output value, so we can write it down as x%=645.2.
5. Now we have two simple equations:
1) 100%=120000
2) x%=645.2
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%=120000/645.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 645.2 is what percent of 120000

100%/x%=120000/645.2
(100/x)*x=(120000/645.2)*x       - we multiply both sides of the equation by x
100=185.98884066956*x       - we divide both sides of the equation by (185.98884066956) to get x
100/185.98884066956=x
0.53766666666667=x
x=0.53766666666667

now we have:
645.2 is 0.53766666666667% of 120000