265.74 is what percent of 377.23 - 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 377.23 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 377.23, so we can write it down as 100%=377.23.
4. We know, that x% equals 265.74 of the output value, so we can write it down as x%=265.74.
5. Now we have two simple equations:
1) 100%=377.23
2) x%=265.74
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%=377.23/265.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 265.74 is what percent of 377.23

100%/x%=377.23/265.74
(100/x)*x=(377.23/265.74)*x       - we multiply both sides of the equation by x
100=1.4195454203357*x       - we divide both sides of the equation by (1.4195454203357) to get x
100/1.4195454203357=x
70.445086551971=x
x=70.445086551971

now we have:
265.74 is 70.445086551971% of 377.23