349.58 is what percent of 25 - 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 25 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 25, so we can write it down as 100%=25.
4. We know, that x% equals 349.58 of the output value, so we can write it down as x%=349.58.
5. Now we have two simple equations:
1) 100%=25
2) x%=349.58
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%=25/349.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 349.58 is what percent of 25

100%/x%=25/349.58
(100/x)*x=(25/349.58)*x       - we multiply both sides of the equation by x
100=0.071514388695005*x       - we divide both sides of the equation by (0.071514388695005) to get x
100/0.071514388695005=x
1398.32=x
x=1398.32

now we have:
349.58 is 1398.32% of 25