97.4 is what percent of 421.65 - 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 421.65 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 421.65, so we can write it down as 100%=421.65.
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%=421.65
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%=421.65/97.4
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 421.65

100%/x%=421.65/97.4
(100/x)*x=(421.65/97.4)*x       - we multiply both sides of the equation by x
100=4.3290554414784*x       - we divide both sides of the equation by (4.3290554414784) to get x
100/4.3290554414784=x
23.099727261947=x
x=23.099727261947

now we have:
97.4 is 23.099727261947% of 421.65