376.26 is what percent of 793.26 - 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 793.26 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 793.26, so we can write it down as 100%=793.26.
4. We know, that x% equals 376.26 of the output value, so we can write it down as x%=376.26.
5. Now we have two simple equations:
1) 100%=793.26
2) x%=376.26
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%=793.26/376.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 376.26 is what percent of 793.26

100%/x%=793.26/376.26
(100/x)*x=(793.26/376.26)*x       - we multiply both sides of the equation by x
100=2.1082761919949*x       - we divide both sides of the equation by (2.1082761919949) to get x
100/2.1082761919949=x
47.432115573708=x
x=47.432115573708

now we have:
376.26 is 47.432115573708% of 793.26