10 is what percent of 78.93 - 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 78.93 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 78.93, so we can write it down as 100%=78.93.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=78.93
2) x%=10
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%=78.93/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 78.93

100%/x%=78.93/10
(100/x)*x=(78.93/10)*x       - we multiply both sides of the equation by x
100=7.893*x       - we divide both sides of the equation by (7.893) to get x
100/7.893=x
12.669453946535=x
x=12.669453946535

now we have:
10 is 12.669453946535% of 78.93