851.4 is what percent of 1153.4 - 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 1153.4 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 1153.4, so we can write it down as 100%=1153.4.
4. We know, that x% equals 851.4 of the output value, so we can write it down as x%=851.4.
5. Now we have two simple equations:
1) 100%=1153.4
2) x%=851.4
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%=1153.4/851.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 851.4 is what percent of 1153.4

100%/x%=1153.4/851.4
(100/x)*x=(1153.4/851.4)*x       - we multiply both sides of the equation by x
100=1.3547098895936*x       - we divide both sides of the equation by (1.3547098895936) to get x
100/1.3547098895936=x
73.816542396393=x
x=73.816542396393

now we have:
851.4 is 73.816542396393% of 1153.4