97.4 is what percent of 398.94 - 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 398.94 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 398.94, so we can write it down as 100%=398.94.
4. We know, that x% equals 97.4 of the output value, so we can write it down as x%=97.4.
5. Now we have two simple equations:
1) 100%=398.94
2) x%=97.4
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%=398.94/97.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.4 is what percent of 398.94

100%/x%=398.94/97.4
(100/x)*x=(398.94/97.4)*x       - we multiply both sides of the equation by x
100=4.0958932238193*x       - we divide both sides of the equation by (4.0958932238193) to get x
100/4.0958932238193=x
24.414698952223=x
x=24.414698952223

now we have:
97.4 is 24.414698952223% of 398.94