84 is what percent of 1366 - 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 1366 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 1366, so we can write it down as 100%=1366.
4. We know, that x% equals 84 of the output value, so we can write it down as x%=84.
5. Now we have two simple equations:
1) 100%=1366
2) x%=84
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%=1366/84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84 is what percent of 1366

100%/x%=1366/84
(100/x)*x=(1366/84)*x       - we multiply both sides of the equation by x
100=16.261904761905*x       - we divide both sides of the equation by (16.261904761905) to get x
100/16.261904761905=x
6.1493411420205=x
x=6.1493411420205

now we have:
84 is 6.1493411420205% of 1366