377.69 is what percent of 829.65 - 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 829.65 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 829.65, so we can write it down as 100%=829.65.
4. We know, that x% equals 377.69 of the output value, so we can write it down as x%=377.69.
5. Now we have two simple equations:
1) 100%=829.65
2) x%=377.69
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%=829.65/377.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 377.69 is what percent of 829.65

100%/x%=829.65/377.69
(100/x)*x=(829.65/377.69)*x       - we multiply both sides of the equation by x
100=2.1966427493447*x       - we divide both sides of the equation by (2.1966427493447) to get x
100/2.1966427493447=x
45.524016151389=x
x=45.524016151389

now we have:
377.69 is 45.524016151389% of 829.65