98.43 is what percent of 141.48 - 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 141.48 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 141.48, so we can write it down as 100%=141.48.
4. We know, that x% equals 98.43 of the output value, so we can write it down as x%=98.43.
5. Now we have two simple equations:
1) 100%=141.48
2) x%=98.43
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%=141.48/98.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.43 is what percent of 141.48

100%/x%=141.48/98.43
(100/x)*x=(141.48/98.43)*x       - we multiply both sides of the equation by x
100=1.4373666565072*x       - we divide both sides of the equation by (1.4373666565072) to get x
100/1.4373666565072=x
69.571670907549=x
x=69.571670907549

now we have:
98.43 is 69.571670907549% of 141.48