296.87 is what percent of 652.45 - 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 652.45 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 652.45, so we can write it down as 100%=652.45.
4. We know, that x% equals 296.87 of the output value, so we can write it down as x%=296.87.
5. Now we have two simple equations:
1) 100%=652.45
2) x%=296.87
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%=652.45/296.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 296.87 is what percent of 652.45

100%/x%=652.45/296.87
(100/x)*x=(652.45/296.87)*x       - we multiply both sides of the equation by x
100=2.1977633307508*x       - we divide both sides of the equation by (2.1977633307508) to get x
100/2.1977633307508=x
45.500804659361=x
x=45.500804659361

now we have:
296.87 is 45.500804659361% of 652.45