400.47 is what percent of 34300.47 - 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 34300.47 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 34300.47, so we can write it down as 100%=34300.47.
4. We know, that x% equals 400.47 of the output value, so we can write it down as x%=400.47.
5. Now we have two simple equations:
1) 100%=34300.47
2) x%=400.47
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%=34300.47/400.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 400.47 is what percent of 34300.47

100%/x%=34300.47/400.47
(100/x)*x=(34300.47/400.47)*x       - we multiply both sides of the equation by x
100=85.650535620646*x       - we divide both sides of the equation by (85.650535620646) to get x
100/85.650535620646=x
1.1675350221149=x
x=1.1675350221149

now we have:
400.47 is 1.1675350221149% of 34300.47