4.15 is what percent of 1.55 - 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 1.55 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 1.55, so we can write it down as 100%=1.55.
4. We know, that x% equals 4.15 of the output value, so we can write it down as x%=4.15.
5. Now we have two simple equations:
1) 100%=1.55
2) x%=4.15
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%=1.55/4.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.15 is what percent of 1.55

100%/x%=1.55/4.15
(100/x)*x=(1.55/4.15)*x       - we multiply both sides of the equation by x
100=0.37349397590361*x       - we divide both sides of the equation by (0.37349397590361) to get x
100/0.37349397590361=x
267.74193548387=x
x=267.74193548387

now we have:
4.15 is 267.74193548387% of 1.55