35 is what percent of 225 - 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 225 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 225, so we can write it down as 100%=225.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=225
2) x%=35
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%=225/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 225

100%/x%=225/35
(100/x)*x=(225/35)*x       - we multiply both sides of the equation by x
100=6.4285714285714*x       - we divide both sides of the equation by (6.4285714285714) to get x
100/6.4285714285714=x
15.555555555556=x
x=15.555555555556

now we have:
35 is 15.555555555556% of 225