0.55 is what percent of 69.03 - 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 69.03 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 69.03, so we can write it down as 100%=69.03.
4. We know, that x% equals 0.55 of the output value, so we can write it down as x%=0.55.
5. Now we have two simple equations:
1) 100%=69.03
2) x%=0.55
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%=69.03/0.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.55 is what percent of 69.03

100%/x%=69.03/0.55
(100/x)*x=(69.03/0.55)*x       - we multiply both sides of the equation by x
100=125.50909090909*x       - we divide both sides of the equation by (125.50909090909) to get x
100/125.50909090909=x
0.79675503404317=x
x=0.79675503404317

now we have:
0.55 is 0.79675503404317% of 69.03