43.27 is what percent of 438.12 - 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 438.12 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 438.12, so we can write it down as 100%=438.12.
4. We know, that x% equals 43.27 of the output value, so we can write it down as x%=43.27.
5. Now we have two simple equations:
1) 100%=438.12
2) x%=43.27
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%=438.12/43.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.27 is what percent of 438.12

100%/x%=438.12/43.27
(100/x)*x=(438.12/43.27)*x       - we multiply both sides of the equation by x
100=10.125259995378*x       - we divide both sides of the equation by (10.125259995378) to get x
100/10.125259995378=x
9.8762896010226=x
x=9.8762896010226

now we have:
43.27 is 9.8762896010226% of 438.12