43 is what percent of 446 - 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 446 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 446, so we can write it down as 100%=446.
4. We know, that x% equals 43 of the output value, so we can write it down as x%=43.
5. Now we have two simple equations:
1) 100%=446
2) x%=43
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%=446/43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43 is what percent of 446

100%/x%=446/43
(100/x)*x=(446/43)*x       - we multiply both sides of the equation by x
100=10.372093023256*x       - we divide both sides of the equation by (10.372093023256) to get x
100/10.372093023256=x
9.6412556053812=x
x=9.6412556053812

now we have:
43 is 9.6412556053812% of 446