21742.75 is what percent of 259264.34 - 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 259264.34 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 259264.34, so we can write it down as 100%=259264.34.
4. We know, that x% equals 21742.75 of the output value, so we can write it down as x%=21742.75.
5. Now we have two simple equations:
1) 100%=259264.34
2) x%=21742.75
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%=259264.34/21742.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21742.75 is what percent of 259264.34

100%/x%=259264.34/21742.75
(100/x)*x=(259264.34/21742.75)*x       - we multiply both sides of the equation by x
100=11.924174264985*x       - we divide both sides of the equation by (11.924174264985) to get x
100/11.924174264985=x
8.3863249377064=x
x=8.3863249377064

now we have:
21742.75 is 8.3863249377064% of 259264.34