10.4 is what percent of 17.93 - 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 17.93 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 17.93, so we can write it down as 100%=17.93.
4. We know, that x% equals 10.4 of the output value, so we can write it down as x%=10.4.
5. Now we have two simple equations:
1) 100%=17.93
2) x%=10.4
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%=17.93/10.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.4 is what percent of 17.93

100%/x%=17.93/10.4
(100/x)*x=(17.93/10.4)*x       - we multiply both sides of the equation by x
100=1.7240384615385*x       - we divide both sides of the equation by (1.7240384615385) to get x
100/1.7240384615385=x
58.003346346905=x
x=58.003346346905

now we have:
10.4 is 58.003346346905% of 17.93