55.32 is what percent of 969.36 - 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 969.36 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 969.36, so we can write it down as 100%=969.36.
4. We know, that x% equals 55.32 of the output value, so we can write it down as x%=55.32.
5. Now we have two simple equations:
1) 100%=969.36
2) x%=55.32
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%=969.36/55.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.32 is what percent of 969.36

100%/x%=969.36/55.32
(100/x)*x=(969.36/55.32)*x       - we multiply both sides of the equation by x
100=17.522776572668*x       - we divide both sides of the equation by (17.522776572668) to get x
100/17.522776572668=x
5.7068581332013=x
x=5.7068581332013

now we have:
55.32 is 5.7068581332013% of 969.36