156.43 is what percent of 213 - 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 213 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 213, so we can write it down as 100%=213.
4. We know, that x% equals 156.43 of the output value, so we can write it down as x%=156.43.
5. Now we have two simple equations:
1) 100%=213
2) x%=156.43
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%=213/156.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.43 is what percent of 213

100%/x%=213/156.43
(100/x)*x=(213/156.43)*x       - we multiply both sides of the equation by x
100=1.3616314006265*x       - we divide both sides of the equation by (1.3616314006265) to get x
100/1.3616314006265=x
73.441314553991=x
x=73.441314553991

now we have:
156.43 is 73.441314553991% of 213