1379.84 is what percent of 10779.84 - 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 10779.84 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 10779.84, so we can write it down as 100%=10779.84.
4. We know, that x% equals 1379.84 of the output value, so we can write it down as x%=1379.84.
5. Now we have two simple equations:
1) 100%=10779.84
2) x%=1379.84
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%=10779.84/1379.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1379.84 is what percent of 10779.84

100%/x%=10779.84/1379.84
(100/x)*x=(10779.84/1379.84)*x       - we multiply both sides of the equation by x
100=7.8123840445269*x       - we divide both sides of the equation by (7.8123840445269) to get x
100/7.8123840445269=x
12.800189984267=x
x=12.800189984267

now we have:
1379.84 is 12.800189984267% of 10779.84