341.66 is what percent of 421.01 - 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 421.01 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 421.01, so we can write it down as 100%=421.01.
4. We know, that x% equals 341.66 of the output value, so we can write it down as x%=341.66.
5. Now we have two simple equations:
1) 100%=421.01
2) x%=341.66
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%=421.01/341.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 341.66 is what percent of 421.01

100%/x%=421.01/341.66
(100/x)*x=(421.01/341.66)*x       - we multiply both sides of the equation by x
100=1.2322484341158*x       - we divide both sides of the equation by (1.2322484341158) to get x
100/1.2322484341158=x
81.152466687252=x
x=81.152466687252

now we have:
341.66 is 81.152466687252% of 421.01