34.9 is what percent of 43 - 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 43 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 43, so we can write it down as 100%=43.
4. We know, that x% equals 34.9 of the output value, so we can write it down as x%=34.9.
5. Now we have two simple equations:
1) 100%=43
2) x%=34.9
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%=43/34.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.9 is what percent of 43

100%/x%=43/34.9
(100/x)*x=(43/34.9)*x       - we multiply both sides of the equation by x
100=1.2320916905444*x       - we divide both sides of the equation by (1.2320916905444) to get x
100/1.2320916905444=x
81.162790697674=x
x=81.162790697674

now we have:
34.9 is 81.162790697674% of 43