298.61 is what percent of 5363.95 - 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 5363.95 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 5363.95, so we can write it down as 100%=5363.95.
4. We know, that x% equals 298.61 of the output value, so we can write it down as x%=298.61.
5. Now we have two simple equations:
1) 100%=5363.95
2) x%=298.61
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%=5363.95/298.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 298.61 is what percent of 5363.95

100%/x%=5363.95/298.61
(100/x)*x=(5363.95/298.61)*x       - we multiply both sides of the equation by x
100=17.963062188138*x       - we divide both sides of the equation by (17.963062188138) to get x
100/17.963062188138=x
5.566979557975=x
x=5.566979557975

now we have:
298.61 is 5.566979557975% of 5363.95