521.2 is what percent of 898.62 - 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 898.62 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 898.62, so we can write it down as 100%=898.62.
4. We know, that x% equals 521.2 of the output value, so we can write it down as x%=521.2.
5. Now we have two simple equations:
1) 100%=898.62
2) x%=521.2
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%=898.62/521.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 521.2 is what percent of 898.62

100%/x%=898.62/521.2
(100/x)*x=(898.62/521.2)*x       - we multiply both sides of the equation by x
100=1.7241366078281*x       - we divide both sides of the equation by (1.7241366078281) to get x
100/1.7241366078281=x
58.000044512697=x
x=58.000044512697

now we have:
521.2 is 58.000044512697% of 898.62