237.9 is what percent of 15.25 - 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 15.25 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 15.25, so we can write it down as 100%=15.25.
4. We know, that x% equals 237.9 of the output value, so we can write it down as x%=237.9.
5. Now we have two simple equations:
1) 100%=15.25
2) x%=237.9
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%=15.25/237.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 237.9 is what percent of 15.25

100%/x%=15.25/237.9
(100/x)*x=(15.25/237.9)*x       - we multiply both sides of the equation by x
100=0.064102564102564*x       - we divide both sides of the equation by (0.064102564102564) to get x
100/0.064102564102564=x
1560=x
x=1560

now we have:
237.9 is 1560% of 15.25