70.52 is what percent of 410.98 - 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 410.98 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 410.98, so we can write it down as 100%=410.98.
4. We know, that x% equals 70.52 of the output value, so we can write it down as x%=70.52.
5. Now we have two simple equations:
1) 100%=410.98
2) x%=70.52
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%=410.98/70.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.52 is what percent of 410.98

100%/x%=410.98/70.52
(100/x)*x=(410.98/70.52)*x       - we multiply both sides of the equation by x
100=5.8278502552467*x       - we divide both sides of the equation by (5.8278502552467) to get x
100/5.8278502552467=x
17.158985838727=x
x=17.158985838727

now we have:
70.52 is 17.158985838727% of 410.98