56.54 is what percent of 969.75 - 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 969.75 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 969.75, so we can write it down as 100%=969.75.
4. We know, that x% equals 56.54 of the output value, so we can write it down as x%=56.54.
5. Now we have two simple equations:
1) 100%=969.75
2) x%=56.54
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%=969.75/56.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.54 is what percent of 969.75

100%/x%=969.75/56.54
(100/x)*x=(969.75/56.54)*x       - we multiply both sides of the equation by x
100=17.151574106827*x       - we divide both sides of the equation by (17.151574106827) to get x
100/17.151574106827=x
5.8303686517144=x
x=5.8303686517144

now we have:
56.54 is 5.8303686517144% of 969.75