267.35 is what percent of 5.558 - 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 5.558 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 5.558, so we can write it down as 100%=5.558.
4. We know, that x% equals 267.35 of the output value, so we can write it down as x%=267.35.
5. Now we have two simple equations:
1) 100%=5.558
2) x%=267.35
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%=5.558/267.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 267.35 is what percent of 5.558

100%/x%=5.558/267.35
(100/x)*x=(5.558/267.35)*x       - we multiply both sides of the equation by x
100=0.020789227604264*x       - we divide both sides of the equation by (0.020789227604264) to get x
100/0.020789227604264=x
4810.1835192515=x
x=4810.1835192515

now we have:
267.35 is 4810.1835192515% of 5.558