56.29 is what percent of 294.06 - 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 294.06 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 294.06, so we can write it down as 100%=294.06.
4. We know, that x% equals 56.29 of the output value, so we can write it down as x%=56.29.
5. Now we have two simple equations:
1) 100%=294.06
2) x%=56.29
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%=294.06/56.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.29 is what percent of 294.06

100%/x%=294.06/56.29
(100/x)*x=(294.06/56.29)*x       - we multiply both sides of the equation by x
100=5.2240184757506*x       - we divide both sides of the equation by (5.2240184757506) to get x
100/5.2240184757506=x
19.142351900973=x
x=19.142351900973

now we have:
56.29 is 19.142351900973% of 294.06