8.4 is what percent of 1263 - 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 1263 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 1263, so we can write it down as 100%=1263.
4. We know, that x% equals 8.4 of the output value, so we can write it down as x%=8.4.
5. Now we have two simple equations:
1) 100%=1263
2) x%=8.4
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%=1263/8.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.4 is what percent of 1263

100%/x%=1263/8.4
(100/x)*x=(1263/8.4)*x       - we multiply both sides of the equation by x
100=150.35714285714*x       - we divide both sides of the equation by (150.35714285714) to get x
100/150.35714285714=x
0.66508313539192=x
x=0.66508313539192

now we have:
8.4 is 0.66508313539192% of 1263