68.4 is what percent of 5.747 - 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 5.747 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 5.747, so we can write it down as 100%=5.747.
4. We know, that x% equals 68.4 of the output value, so we can write it down as x%=68.4.
5. Now we have two simple equations:
1) 100%=5.747
2) x%=68.4
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%=5.747/68.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.4 is what percent of 5.747

100%/x%=5.747/68.4
(100/x)*x=(5.747/68.4)*x       - we multiply both sides of the equation by x
100=0.084020467836257*x       - we divide both sides of the equation by (0.084020467836257) to get x
100/0.084020467836257=x
1190.1861840961=x
x=1190.1861840961

now we have:
68.4 is 1190.1861840961% of 5.747