264.68 is what percent of 1550 - 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 1550 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 1550, so we can write it down as 100%=1550.
4. We know, that x% equals 264.68 of the output value, so we can write it down as x%=264.68.
5. Now we have two simple equations:
1) 100%=1550
2) x%=264.68
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%=1550/264.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 264.68 is what percent of 1550

100%/x%=1550/264.68
(100/x)*x=(1550/264.68)*x       - we multiply both sides of the equation by x
100=5.8561281547529*x       - we divide both sides of the equation by (5.8561281547529) to get x
100/5.8561281547529=x
17.076129032258=x
x=17.076129032258

now we have:
264.68 is 17.076129032258% of 1550