120.47 is what percent of 1837.29 - 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 1837.29 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 1837.29, so we can write it down as 100%=1837.29.
4. We know, that x% equals 120.47 of the output value, so we can write it down as x%=120.47.
5. Now we have two simple equations:
1) 100%=1837.29
2) x%=120.47
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%=1837.29/120.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.47 is what percent of 1837.29

100%/x%=1837.29/120.47
(100/x)*x=(1837.29/120.47)*x       - we multiply both sides of the equation by x
100=15.251016850668*x       - we divide both sides of the equation by (15.251016850668) to get x
100/15.251016850668=x
6.5569398407437=x
x=6.5569398407437

now we have:
120.47 is 6.5569398407437% of 1837.29