84.3 is what percent of 26.78 - 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 26.78 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 26.78, so we can write it down as 100%=26.78.
4. We know, that x% equals 84.3 of the output value, so we can write it down as x%=84.3.
5. Now we have two simple equations:
1) 100%=26.78
2) x%=84.3
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%=26.78/84.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.3 is what percent of 26.78

100%/x%=26.78/84.3
(100/x)*x=(26.78/84.3)*x       - we multiply both sides of the equation by x
100=0.31767497034401*x       - we divide both sides of the equation by (0.31767497034401) to get x
100/0.31767497034401=x
314.78715459298=x
x=314.78715459298

now we have:
84.3 is 314.78715459298% of 26.78