437.3 is what percent of 4062.04 - 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 4062.04 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 4062.04, so we can write it down as 100%=4062.04.
4. We know, that x% equals 437.3 of the output value, so we can write it down as x%=437.3.
5. Now we have two simple equations:
1) 100%=4062.04
2) x%=437.3
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%=4062.04/437.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 437.3 is what percent of 4062.04

100%/x%=4062.04/437.3
(100/x)*x=(4062.04/437.3)*x       - we multiply both sides of the equation by x
100=9.2889092156414*x       - we divide both sides of the equation by (9.2889092156414) to get x
100/9.2889092156414=x
10.765526681175=x
x=10.765526681175

now we have:
437.3 is 10.765526681175% of 4062.04