752.23 is what percent of 17747.78 - 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 17747.78 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 17747.78, so we can write it down as 100%=17747.78.
4. We know, that x% equals 752.23 of the output value, so we can write it down as x%=752.23.
5. Now we have two simple equations:
1) 100%=17747.78
2) x%=752.23
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%=17747.78/752.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 752.23 is what percent of 17747.78

100%/x%=17747.78/752.23
(100/x)*x=(17747.78/752.23)*x       - we multiply both sides of the equation by x
100=23.59355516265*x       - we divide both sides of the equation by (23.59355516265) to get x
100/23.59355516265=x
4.2384455971395=x
x=4.2384455971395

now we have:
752.23 is 4.2384455971395% of 17747.78