360.87 is what percent of 1225 - 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 1225 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 1225, so we can write it down as 100%=1225.
4. We know, that x% equals 360.87 of the output value, so we can write it down as x%=360.87.
5. Now we have two simple equations:
1) 100%=1225
2) x%=360.87
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%=1225/360.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 360.87 is what percent of 1225

100%/x%=1225/360.87
(100/x)*x=(1225/360.87)*x       - we multiply both sides of the equation by x
100=3.3945742234045*x       - we divide both sides of the equation by (3.3945742234045) to get x
100/3.3945742234045=x
29.458775510204=x
x=29.458775510204

now we have:
360.87 is 29.458775510204% of 1225