177.74 is what percent of 263.3 - 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 263.3 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 263.3, so we can write it down as 100%=263.3.
4. We know, that x% equals 177.74 of the output value, so we can write it down as x%=177.74.
5. Now we have two simple equations:
1) 100%=263.3
2) x%=177.74
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%=263.3/177.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.74 is what percent of 263.3

100%/x%=263.3/177.74
(100/x)*x=(263.3/177.74)*x       - we multiply both sides of the equation by x
100=1.4813772926747*x       - we divide both sides of the equation by (1.4813772926747) to get x
100/1.4813772926747=x
67.504747436384=x
x=67.504747436384

now we have:
177.74 is 67.504747436384% of 263.3