56.95 is what percent of 296.7 - 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 296.7 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 296.7, so we can write it down as 100%=296.7.
4. We know, that x% equals 56.95 of the output value, so we can write it down as x%=56.95.
5. Now we have two simple equations:
1) 100%=296.7
2) x%=56.95
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%=296.7/56.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.95 is what percent of 296.7

100%/x%=296.7/56.95
(100/x)*x=(296.7/56.95)*x       - we multiply both sides of the equation by x
100=5.2098331870061*x       - we divide both sides of the equation by (5.2098331870061) to get x
100/5.2098331870061=x
19.194472531176=x
x=19.194472531176

now we have:
56.95 is 19.194472531176% of 296.7