74.4 is what percent of 1031.89 - 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 1031.89 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 1031.89, so we can write it down as 100%=1031.89.
4. We know, that x% equals 74.4 of the output value, so we can write it down as x%=74.4.
5. Now we have two simple equations:
1) 100%=1031.89
2) x%=74.4
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%=1031.89/74.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.4 is what percent of 1031.89

100%/x%=1031.89/74.4
(100/x)*x=(1031.89/74.4)*x       - we multiply both sides of the equation by x
100=13.869489247312*x       - we divide both sides of the equation by (13.869489247312) to get x
100/13.869489247312=x
7.2100708408842=x
x=7.2100708408842

now we have:
74.4 is 7.2100708408842% of 1031.89