259.88 is what percent of 29.7 - 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 29.7 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 29.7, so we can write it down as 100%=29.7.
4. We know, that x% equals 259.88 of the output value, so we can write it down as x%=259.88.
5. Now we have two simple equations:
1) 100%=29.7
2) x%=259.88
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%=29.7/259.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.88 is what percent of 29.7

100%/x%=29.7/259.88
(100/x)*x=(29.7/259.88)*x       - we multiply both sides of the equation by x
100=0.11428351546868*x       - we divide both sides of the equation by (0.11428351546868) to get x
100/0.11428351546868=x
875.01683501683=x
x=875.01683501683

now we have:
259.88 is 875.01683501683% of 29.7