10.34 is what percent of 1034.27 - 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 1034.27 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 1034.27, so we can write it down as 100%=1034.27.
4. We know, that x% equals 10.34 of the output value, so we can write it down as x%=10.34.
5. Now we have two simple equations:
1) 100%=1034.27
2) x%=10.34
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%=1034.27/10.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.34 is what percent of 1034.27

100%/x%=1034.27/10.34
(100/x)*x=(1034.27/10.34)*x       - we multiply both sides of the equation by x
100=100.02611218569*x       - we divide both sides of the equation by (100.02611218569) to get x
100/100.02611218569=x
0.99973894630996=x
x=0.99973894630996

now we have:
10.34 is 0.99973894630996% of 1034.27