24.09 is what percent of 426.98 - 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 426.98 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 426.98, so we can write it down as 100%=426.98.
4. We know, that x% equals 24.09 of the output value, so we can write it down as x%=24.09.
5. Now we have two simple equations:
1) 100%=426.98
2) x%=24.09
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%=426.98/24.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.09 is what percent of 426.98

100%/x%=426.98/24.09
(100/x)*x=(426.98/24.09)*x       - we multiply both sides of the equation by x
100=17.724366957244*x       - we divide both sides of the equation by (17.724366957244) to get x
100/17.724366957244=x
5.6419504426437=x
x=5.6419504426437

now we have:
24.09 is 5.6419504426437% of 426.98