6.79 is what percent of 145.93 - 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 145.93 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 145.93, so we can write it down as 100%=145.93.
4. We know, that x% equals 6.79 of the output value, so we can write it down as x%=6.79.
5. Now we have two simple equations:
1) 100%=145.93
2) x%=6.79
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%=145.93/6.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.79 is what percent of 145.93

100%/x%=145.93/6.79
(100/x)*x=(145.93/6.79)*x       - we multiply both sides of the equation by x
100=21.491899852725*x       - we divide both sides of the equation by (21.491899852725) to get x
100/21.491899852725=x
4.6529157815391=x
x=4.6529157815391

now we have:
6.79 is 4.6529157815391% of 145.93