7.79 is what percent of 379.7 - 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 379.7 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 379.7, so we can write it down as 100%=379.7.
4. We know, that x% equals 7.79 of the output value, so we can write it down as x%=7.79.
5. Now we have two simple equations:
1) 100%=379.7
2) x%=7.79
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%=379.7/7.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.79 is what percent of 379.7

100%/x%=379.7/7.79
(100/x)*x=(379.7/7.79)*x       - we multiply both sides of the equation by x
100=48.741976893453*x       - we divide both sides of the equation by (48.741976893453) to get x
100/48.741976893453=x
2.051619699763=x
x=2.051619699763

now we have:
7.79 is 2.051619699763% of 379.7