43.4 is what percent of 325.7 - 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 325.7 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 325.7, so we can write it down as 100%=325.7.
4. We know, that x% equals 43.4 of the output value, so we can write it down as x%=43.4.
5. Now we have two simple equations:
1) 100%=325.7
2) x%=43.4
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%=325.7/43.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.4 is what percent of 325.7

100%/x%=325.7/43.4
(100/x)*x=(325.7/43.4)*x       - we multiply both sides of the equation by x
100=7.5046082949309*x       - we divide both sides of the equation by (7.5046082949309) to get x
100/7.5046082949309=x
13.32514583973=x
x=13.32514583973

now we have:
43.4 is 13.32514583973% of 325.7