43.4 is what percent of 67.8 - 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 67.8 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 67.8, so we can write it down as 100%=67.8.
4. We know, that x% equals 43.4 of the output value, so we can write it down as x%=43.4.
5. Now we have two simple equations:
1) 100%=67.8
2) x%=43.4
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%=67.8/43.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.4 is what percent of 67.8

100%/x%=67.8/43.4
(100/x)*x=(67.8/43.4)*x       - we multiply both sides of the equation by x
100=1.5622119815668*x       - we divide both sides of the equation by (1.5622119815668) to get x
100/1.5622119815668=x
64.011799410029=x
x=64.011799410029

now we have:
43.4 is 64.011799410029% of 67.8