49 is what percent of 514 - 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 514 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 514, so we can write it down as 100%=514.
4. We know, that x% equals 49 of the output value, so we can write it down as x%=49.
5. Now we have two simple equations:
1) 100%=514
2) x%=49
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%=514/49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49 is what percent of 514

100%/x%=514/49
(100/x)*x=(514/49)*x       - we multiply both sides of the equation by x
100=10.489795918367*x       - we divide both sides of the equation by (10.489795918367) to get x
100/10.489795918367=x
9.5330739299611=x
x=9.5330739299611

now we have:
49 is 9.5330739299611% of 514