435.34 is what percent of 3730 - 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 3730 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 3730, so we can write it down as 100%=3730.
4. We know, that x% equals 435.34 of the output value, so we can write it down as x%=435.34.
5. Now we have two simple equations:
1) 100%=3730
2) x%=435.34
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%=3730/435.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 435.34 is what percent of 3730

100%/x%=3730/435.34
(100/x)*x=(3730/435.34)*x       - we multiply both sides of the equation by x
100=8.5680158037396*x       - we divide both sides of the equation by (8.5680158037396) to get x
100/8.5680158037396=x
11.671313672922=x
x=11.671313672922

now we have:
435.34 is 11.671313672922% of 3730