359.98 is what percent of 1378.22 - 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 1378.22 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 1378.22, so we can write it down as 100%=1378.22.
4. We know, that x% equals 359.98 of the output value, so we can write it down as x%=359.98.
5. Now we have two simple equations:
1) 100%=1378.22
2) x%=359.98
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%=1378.22/359.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 359.98 is what percent of 1378.22

100%/x%=1378.22/359.98
(100/x)*x=(1378.22/359.98)*x       - we multiply both sides of the equation by x
100=3.8286015889772*x       - we divide both sides of the equation by (3.8286015889772) to get x
100/3.8286015889772=x
26.119197225407=x
x=26.119197225407

now we have:
359.98 is 26.119197225407% of 1378.22