376.4 is what percent of 11764 - 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 11764 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 11764, so we can write it down as 100%=11764.
4. We know, that x% equals 376.4 of the output value, so we can write it down as x%=376.4.
5. Now we have two simple equations:
1) 100%=11764
2) x%=376.4
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%=11764/376.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 376.4 is what percent of 11764

100%/x%=11764/376.4
(100/x)*x=(11764/376.4)*x       - we multiply both sides of the equation by x
100=31.25398512221*x       - we divide both sides of the equation by (31.25398512221) to get x
100/31.25398512221=x
3.1995919755185=x
x=3.1995919755185

now we have:
376.4 is 3.1995919755185% of 11764