68.53 is what percent of 359.06 - 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 359.06 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 359.06, so we can write it down as 100%=359.06.
4. We know, that x% equals 68.53 of the output value, so we can write it down as x%=68.53.
5. Now we have two simple equations:
1) 100%=359.06
2) x%=68.53
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%=359.06/68.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.53 is what percent of 359.06

100%/x%=359.06/68.53
(100/x)*x=(359.06/68.53)*x       - we multiply both sides of the equation by x
100=5.2394571720414*x       - we divide both sides of the equation by (5.2394571720414) to get x
100/5.2394571720414=x
19.085946638445=x
x=19.085946638445

now we have:
68.53 is 19.085946638445% of 359.06