423.7 is what percent of 1741 - 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 1741 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 1741, so we can write it down as 100%=1741.
4. We know, that x% equals 423.7 of the output value, so we can write it down as x%=423.7.
5. Now we have two simple equations:
1) 100%=1741
2) x%=423.7
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%=1741/423.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 423.7 is what percent of 1741

100%/x%=1741/423.7
(100/x)*x=(1741/423.7)*x       - we multiply both sides of the equation by x
100=4.1090394146802*x       - we divide both sides of the equation by (4.1090394146802) to get x
100/4.1090394146802=x
24.33658816772=x
x=24.33658816772

now we have:
423.7 is 24.33658816772% of 1741