43 is what percent of 407 - 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 407 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 407, so we can write it down as 100%=407.
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%=407
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%=407/43
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 407

100%/x%=407/43
(100/x)*x=(407/43)*x       - we multiply both sides of the equation by x
100=9.4651162790698*x       - we divide both sides of the equation by (9.4651162790698) to get x
100/9.4651162790698=x
10.565110565111=x
x=10.565110565111

now we have:
43 is 10.565110565111% of 407